Prime p₀= 2037057980928836267 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 64 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 120 122 132 134 174 176
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: 176
Found by: Landjunge
db: batch=80, k=12, 2 40 2 10 2 64

STPT(10)	2037056793680280257	0 2 54 56 72 74 90 92 144 146	-1187248556010
STPT(10)	2037056831197966397	0 2 120 122 180 182 240 242 360 362	-1149730869870
TPT(14)	2037057075123168179	0 2 30 32 42 44 90 92 132 134 180 182 228 230	-905805668088
SPT(16)	2037057079323434039	0 14 98 104 138 180 198 200 282 284 302 344 378 384 468 482	-901605402228
SPT(16)	2037057229265537261	0 32 72 90 168 182 186 198 200 212 216 230 308 326 366 398	-751663299006
SPT(16)	2037057380642954027	0 12 24 56 66 86 182 204 212 234 330 350 360 392 404 416	-600285882240
SPT(16)	2037058026214406527	0 12 34 82 90 120 244 390 436 582 706 736 744 792 814 826	45285570260
STPT(10)	2037058071047149217	0 2 12 14 42 44 72 74 84 86	90118312950
STPT(10)	2037058267662199421	0 2 6 8 48 50 90 92 96 98	286733363154
SPT(16)	2037058333569102413	0 6 50 66 78 98 126 128 168 170 198 218 230 246 290 296	352640266146
SPT(16)	2037058649623265201	0 8 20 26 48 120 146 176 222 252 278 350 372 378 390 398	668694428934