Prime p₀= 1273457033700780323 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 8 40 30 6 18 38 22 38 18 6 30 40 8 6 (?)
a_n: 0 6 14 54 84 90 108 146 168 206 224 230 260 300 308 314
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 314
Found by: HenkM
db: batch=77, k=16, 6 8 40 30 6 18 38 22

SPT(16)	1273456216400670451	0 22 58 66 78 88 100 102 196 198 210 220 232 240 276 298	-817300109872
SPT(16)	1273456363428306199	0 24 48 64 72 90 108 130 132 154 172 190 198 214 238 262	-670272474124
SPT(16)	1273456397284044377	0 20 32 60 62 74 132 134 150 152 210 222 224 252 264 284	-636416735946
SPT(16)	1273456403595612913	0 6 84 94 118 124 138 150 274 286 300 306 330 340 418 424	-630105167410
SPT(16)	1273456605945608753	0 14 18 36 84 140 146 186 218 258 264 320 368 386 390 404	-427755171570
SPT(16)	1273456856889289447	0 16 34 102 112 114 126 144 172 190 202 204 214 282 300 316	-176811490876
SPT(16)	1273457131115995141	0 12 18 28 60 142 148 166 252 270 276 358 390 400 406 418	97415214818
SPT(16)	1273457176862169521	0 6 18 66 80 138 140 200 258 318 320 378 392 440 452 458	143161389198
SPT(16)	1273457416025871067	0 12 102 144 150 180 202 232 234 264 286 316 322 364 454 466	382325090744
SPT(16)	1273458239054034907	0 34 40 70 96 124 126 172 174 220 222 250 276 306 312 346	1205353254584
SPT(16)	1273458247775457697	0 10 30 76 84 120 160 192 244 276 316 352 360 406 426 436	1214074677374