Prime p₀= 2738266788681627629 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 34 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 108 110 150 152 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 40 2 34

SPT(16)	2738264980653690377	0 2 24 42 54 66 80 92 114 126 140 152 164 182 204 206	-1808027937252
STPT(10)	2738265968804440769	0 2 30 32 60 62 90 92 120 122	-819877186860
SPT(16)	2738266028978768693	0 14 18 26 60 84 140 146 228 234 290 314 348 356 360 374	-759702858936
STPT(10)	2738266186621007477	0 2 30 32 42 44 54 56 84 86	-602060620152
SPT(16)	2738266194530890181	0 12 20 32 42 86 90 110 132 152 156 200 210 222 230 242	-594150737448
STPT(10)	2738266430474393051	0 2 30 32 78 80 126 128 156 158	-358207234578
SPT(16)	2738266804210468031	0 26 56 62 78 98 140 152 156 168 210 230 246 252 282 308	15528840402
SPT(16)	2738267065243238603	0 26 60 68 74 84 86 114 170 198 200 210 216 224 258 284	276561610974
SPT(16)	2738267079789952951	0 18 36 42 48 76 102 148 240 286 312 340 346 352 370 388	291108325322
SPT(16)	2738267561214227351	0 12 66 96 158 162 168 206 282 320 326 330 392 422 476 488	772532599722
STPT(10)	2738268219282289427	0 2 24 26 42 44 60 62 84 86	1430600661798