Prime p₀= 1115176016575860761 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 58 2 4 2 58 2 28 2 (?)
a_n: 0 2 30 32 90 92 96 98 156 158 186 188
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 188
Found by: stoneageman
db: batch=76, k=12, 2 28 2 58 2 4

STPT(10)	1115174982957115667	0 2 30 32 72 74 114 116 144 146	-1033618745094
SPT(16)	1115175050699742497	0 2 12 26 36 86 90 132 134 176 180 230 240 254 264 266	-965876118264
SPT(16)	1115175195047383069	0 4 34 48 54 94 130 138 160 168 204 244 250 264 294 298	-821528477692
SPT(16)	1115175492098304983	0 24 36 56 84 86 90 134 210 254 258 260 288 308 320 344	-524477555778
SPT(16)	1115175762454882441	0 18 60 66 82 136 180 192 196 208 252 306 322 328 370 388	-254120978320
SPT(16)	1115175881978185099	0 4 30 64 78 88 100 130 168 198 210 220 234 268 294 298	-134597675662
SPT(16)	1115176200779847169	0 22 28 60 112 148 160 168 214 222 234 270 322 354 360 382	184203986408
SPT(16)	1115176253311766531	0 32 62 72 86 132 198 210 218 230 296 342 356 366 396 428	236735905770
STPT(10)	1115176358079728897	0 2 30 32 42 44 54 56 84 86	341503868136
STPT(10)	1115177017792833551	0 2 6 8 48 50 90 92 96 98	1001216972790
SPT(16)	1115177305983574843	0 28 70 76 84 120 126 130 144 148 154 190 198 204 246 274	1289407714082