Prime p₀= 927626689152987821 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 22 2 124 2 22 2 4 2 (?)
a_n: 0 2 6 8 30 32 156 158 180 182 186 188
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: 188
Found by: crashtech
db: batch=76, k=12, 2 4 2 22 2 124

STPT(10)	927625052571235691	0 2 30 32 78 80 126 128 156 158	-1636581752130
SPT(16)	927625075343789129	0 2 60 68 90 132 164 198 224 258 290 332 354 362 420 422	-1613809198692
STPT(10)	927625328970648401	0 2 36 38 78 80 120 122 156 158	-1360182339420
STPT(10)	927625466296883399	0 2 48 50 90 92 132 134 180 182	-1222856104422
STPT(10)	927625495169336627	0 2 42 44 72 74 102 104 144 146	-1193983651194
STPT(12)	927625520686782887	0 2 30 32 54 56 90 92 114 116 144 146	-1168466204934
SPT(16)	927626745092884007	0 14 62 80 90 96 110 152 204 246 260 266 276 294 342 356	55939896186
STPT(10)	927626794289909471	0 2 6 8 18 20 30 32 36 38	105136921650
SPT(16)	927626897805678839	0 18 20 42 62 84 98 138 194 234 248 270 290 312 314 332	208652691018
STPT(10)	927627205290375767	0 2 60 62 72 74 84 86 144 146	516137387946
SPT(16)	927628098454960739	0 72 128 134 168 194 200 204 278 282 288 314 348 354 410 482	1409301972918