Prime p₀= 1281023611039152037 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 4 8 6 36 4 12 2 12 4 36 6 8 4 12 (?)
a_n: 0 12 16 24 30 66 70 82 84 96 100 136 142 150 154 166
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: 166
Found by: Theadalus
db: batch=77, k=16, 12 4 8 6 36 4 12 2

SPT(16)	1281021805892704387	0 4 30 66 84 94 100 114 292 306 312 322 340 376 402 406	-1805146447650
STPT(10)	1281022454125388669	0 2 30 32 60 62 90 92 120 122	-1156913763368
SPT(16)	1281022672980902927	0 14 56 60 66 74 102 140 246 284 312 320 326 330 372 386	-938058249110
STPT(10)	1281022951003892561	0 2 36 38 108 110 180 182 216 218	-660035259476
STPT(10)	1281023014284225239	0 2 18 20 30 32 42 44 60 62	-596754926798
STPT(10)	1281023292898219391	0 2 96 98 138 140 180 182 276 278	-318140932646
SPT(16)	1281024102544712971	0 30 48 70 76 82 90 102 196 208 216 222 228 250 268 298	491505560934
SPT(16)	1281024347714457667	0 60 70 100 172 184 214 222 244 252 282 294 366 396 406 466	736675305630
SPT(16)	1281024604758358199	0 24 48 50 54 84 104 120 122 138 158 188 192 194 218 242	993719206162
SPT(16)	1281024653561728421	0 56 62 66 80 86 146 206 222 282 342 348 362 366 372 428	1042522576384
SPT(16)	1281024971441891099	0 20 48 62 74 84 90 102 140 152 158 168 180 194 222 242	1360402739062