Prime p₀= 2371922440178414939 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: Landjunge
db: batch=81, k=12, 2 28 2 28 2 10

STPT(10)	2371921344004314899	0 2 18 20 30 32 42 44 60 62	-1096174100040
STPT(10)	2371921531575398321	0 2 36 38 78 80 120 122 156 158	-908603016618
SPT(16)	2371921584445726993	0 40 88 96 166 168 196 198 238 240 268 270 340 348 396 436	-855732687946
STPT(10)	2371921746629644379	0 2 42 44 60 62 78 80 120 122	-693548770560
SPT(16)	2371922157852912971	0 50 56 60 78 116 122 132 176 186 192 230 248 252 258 308	-282325501968
SPT(16)	2371922350109935967	0 24 32 42 50 66 164 182 204 222 320 336 344 354 362 386	-90068478972
STPT(10)	2371922938257847547	0 2 24 26 42 44 60 62 84 86	498079432608
SPT(16)	2371923015106307101	0 48 108 138 186 196 202 222 286 306 312 322 370 400 460 508	574927892162
STPT(10)	2371924166167862819	0 2 42 44 60 62 78 80 120 122	1725989447880
STPT(10)	2371924321432415777	0 2 30 32 42 44 54 56 84 86	1881254000838
SPT(16)	2371924362363241891	0 46 66 72 78 118 132 148 240 256 270 310 316 322 342 388	1922184826952