Prime p₀= 1290438426339477917 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 54 72 6 2 10 78 44 4 44 78 10 2 6 72 54 (?)
a_n: 0 54 126 132 134 144 222 266 270 314 392 402 404 410 482 536
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: 536
Found by: Cruncher Pete
db: batch=77, k=16, 54 72 6 2 10 78 44 4

SPT(16)	1290437507535175429	0 42 82 114 150 154 174 204 238 268 288 292 328 360 400 442	-918804302488
SPT(16)	1290437895937384801	0 6 36 60 162 168 172 190 228 246 250 256 358 382 412 418	-530402093116
SPT(16)	1290438029027359063	0 10 24 34 36 64 144 178 186 220 300 328 330 340 354 364	-397312118854
STPT(10)	1290438075963305219	0 2 18 20 30 32 42 44 60 62	-350376172698
SPT(16)	1290438318193478627	0 42 62 96 110 122 132 186 350 404 414 426 440 474 494 536	-108145999290
SPT(16)	1290438408154181261	0 30 42 48 68 78 92 98 120 126 140 150 170 176 188 218	-18185296656
TPT(14)	1290438647067953027	0 2 12 14 30 32 72 74 150 152 264 266 282 284	220728475110
SPT(16)	1290438681325913071	0 10 12 18 36 42 58 66 142 150 166 172 190 196 198 208	254986435154
SPT(16)	1290438788581542577	0 4 40 42 66 96 102 124 132 154 160 190 214 216 252 256	362242064660
SPT(18)	1290438965451119459	0 122 128 140 150 152 198 224 252 260 288 314 360 362 372 384 390 512	539111641542
STPT(10)	1290439646522531801	0 2 6 8 18 20 30 32 36 38	1220183053884