Prime p₀= 1081121396848508777 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: Theadalus
db: batch=76, k=12, 2 10 2 40 2 4

SPT(16)	1081120043308524599	0 42 108 132 162 168 188 210 212 234 254 260 290 314 380 422	-1353539984178
SPT(16)	1081120458587945071	0 46 48 90 102 148 168 190 258 280 300 346 358 400 402 448	-938260563706
SPT(16)	1081120554570309343	0 76 88 90 156 210 228 270 364 406 424 478 544 546 558 634	-842278199434
STPT(10)	1081120673253783917	0 2 30 32 42 44 54 56 84 86	-723594724860
SPT(16)	1081120733881446821	0 12 26 50 56 80 122 132 140 150 192 216 222 246 260 272	-662967061956
SPT(16)	1081121218864605137	0 20 44 90 92 114 164 174 242 252 302 324 326 372 396 416	-177983903640
SPT(16)	1081121589133250459	0 2 14 48 92 104 132 168 224 260 288 300 344 378 390 392	192284741682
STPT(10)	1081121643798824627	0 2 24 26 42 44 60 62 84 86	246950315850
STPT(10)	1081121720000447897	0 2 30 32 72 74 114 116 144 146	323151939120
SPT(16)	1081122500372661157	0 22 36 42 54 102 112 130 186 204 214 262 274 280 294 316	1103524152380
SPT(16)	1081122523047311539	0 40 58 64 82 132 142 174 238 270 280 330 348 354 372 412	1126198802762