Prime p₀= 2053673414994145829 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 76 2 10 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 132 134 210 212 252 254
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: 254
Found by: Landjunge
db: batch=80, k=12, 2 40 2 76 2 10

SPT(16)	2053671938126591621	0 20 62 90 102 146 150 156 242 248 252 296 308 336 378 398	-1476867554208
STPT(10)	2053672257621118787	0 2 42 44 72 74 102 104 144 146	-1157373027042
SPT(16)	2053672532262117049	0 28 30 34 40 78 114 208 240 334 370 408 414 418 420 448	-882732028780
STPT(10)	2053672577089702097	0 2 60 62 72 74 84 86 144 146	-837904443732
SPT(16)	2053672802280182059	0 4 72 114 142 144 162 204 208 250 268 270 298 340 408 412	-612713963770
SPT(16)	2053672826133379271	0 18 36 56 60 98 116 122 126 132 150 188 192 212 230 248	-588860766558
STPT(10)	2053673681778115697	0 2 24 26 42 44 60 62 84 86	266783969868
SPT(16)	2053673755478779921	0 6 28 40 42 48 88 106 312 330 370 376 378 390 412 418	340484634092
STPT(10)	2053673959638502211	0 2 6 8 48 50 90 92 96 98	544644356382
SPT(16)	2053674226285393081	0 12 40 102 112 118 138 192 196 250 270 276 286 348 376 388	811291247252
SPT(16)	2053674292425345167	0 42 44 54 84 90 110 152 162 204 224 230 260 270 272 314	877431199338