Prime p₀= 2258832555104508959 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: Orange Kid
db: batch=81, k=12, 2 28 2 10 2 46

STPT(10)	2258829275723271071	0 2 6 8 18 20 30 32 36 38	-3279381237888
SPT(16)	2258829913719213151	0 16 28 76 126 168 238 258 280 300 370 412 462 510 522 538	-2641385295808
SPT(16)	2258830104382783637	0 30 32 60 62 80 104 146 150 192 216 234 236 264 266 296	-2450721725322
STPT(10)	2258830243922472131	0 2 6 8 18 20 30 32 36 38	-2311182036828
SPT(16)	2258830380794732567	0 6 36 56 102 132 144 186 260 302 314 344 390 410 440 446	-2174309776392
STPT(10)	2258831255615112317	0 2 60 62 72 74 84 86 144 146	-1299489396642
TPT(14)	2258833149539127197	0 2 24 26 54 56 192 194 210 212 234 236 252 254	594434618238
STPT(10)	2258833469917847651	0 2 6 8 48 50 90 92 96 98	914813338692
SPT(16)	2258833506845873497	0 16 46 60 70 96 124 126 154 156 184 210 220 234 264 280	951741364538
SPT(16)	2258833515614972851	0 66 88 132 156 168 228 232 366 370 430 442 466 510 532 598	960510463892
SPT(16)	2258833861566286229	0 32 42 114 144 164 180 194 210 224 240 260 290 362 372 404	1306461777270