Prime p₀= 1271930303840557729 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 36 2 40 2 58 20 70 20 58 2 40 2 36 4 (?)
a_n: 0 4 40 42 82 84 142 162 232 252 310 312 352 354 390 394
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: 394
Found by: HenkM
db: batch=77, k=16, 4 36 2 40 2 58 20 70

SPT(16)	1271929108794263281	0 6 60 118 120 126 168 180 196 208 250 256 258 316 370 376	-1195046294448
STPT(10)	1271929196117029127	0 2 12 14 42 44 72 74 84 86	-1107723528602
STPT(10)	1271929364373355151	0 2 36 38 78 80 120 122 156 158	-939467202578
SPT(16)	1271929509272533121	0 8 72 90 128 138 162 206 222 266 290 300 338 356 420 428	-794568024608
STPT(10)	1271929589643736277	0 2 90 92 102 104 114 116 204 206	-714196821452
SPT(16)	1271930070524897617	0 30 36 42 70 72 106 120 136 150 184 186 214 220 226 256	-233315660112
SPT(18)	1271930597281689361	0 46 70 76 106 108 120 150 178 210 238 268 280 282 312 318 342 388	293441131632
SPT(16)	1271930689185945559	0 24 30 42 82 94 102 138 184 220 228 240 280 292 298 322	385345387830
SPT(16)	1271930702383881427	0 30 52 60 72 82 94 96 130 132 144 154 166 174 196 226	398543323698
SPT(16)	1271930887097097397	0 16 70 130 154 186 190 214 216 240 244 276 300 360 414 430	583256539668
SPT(16)	1271931089380497407	0 96 140 170 182 200 206 212 234 240 246 264 276 306 350 446	785539939678