Prime p₀= 2338474424081917577 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 64 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 150 152 210 212 234 236
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: 236
Found by: Landjunge
db: batch=81, k=12, 2 22 2 58 2 64

SPT(16)	2338473290631350581	0 10 46 48 60 66 90 106 132 148 172 178 190 192 228 238	-1133450566996
SPT(16)	2338473298643098129	0 34 52 88 102 144 148 154 168 174 178 220 234 270 288 322	-1125438819448
SPT(16)	2338473578223775721	0 66 92 102 122 158 182 186 392 396 420 456 476 486 512 578	-845858141856
SPT(16)	2338473721298831353	0 34 48 58 70 84 150 160 174 184 250 264 276 286 300 334	-702783086224
SPT(16)	2338473737339673653	0 18 54 56 90 98 126 128 156 158 186 194 228 230 266 284	-686742243924
STPT(10)	2338474352224772987	0 2 30 32 42 44 54 56 84 86	-71857144590
SPT(16)	2338474815871177391	0 2 20 56 72 78 90 108 140 158 170 176 192 228 246 248	391789259814
STPT(10)	2338475002076246807	0 2 42 44 72 74 102 104 144 146	577994329230
SPT(16)	2338475296573482349	0 48 78 82 84 174 180 210 232 262 268 358 360 364 394 442	872491564772
TPT(14)	2338475375610643097	0 2 204 206 210 212 294 296 330 332 384 386 462 464	951528725520
SPT(16)	2338475648746281623	0 8 14 98 150 164 204 216 218 230 270 284 336 420 426 434	1224664364046