Prime p₀= 1931595126233177807 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 52 2 28 2 34 2 28 2 52 2 (?)
a_n: 0 2 54 56 84 86 120 122 150 152 204 206
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: 206
Found by: Landjunge
db: batch=80, k=12, 2 52 2 28 2 34

TPT(14)	1931594334787547459	0 2 12 14 162 164 240 242 282 284 402 404 408 410	-791445630348
STPT(10)	1931594510885483399	0 2 42 44 90 92 138 140 180 182	-615347694408
TPT(14)	1931594626513892159	0 2 30 32 78 80 240 242 288 290 360 362 372 374	-499719285648
SPT(16)	1931594638076811791	0 26 32 56 66 90 96 102 110 116 122 146 156 180 186 212	-488156366016
SPT(16)	1931594667185917621	0 10 12 46 72 82 136 166 186 216 270 280 306 340 342 352	-459047260186
TPT(14)	1931595020680329689	0 2 60 62 150 152 168 170 252 254 282 284 312 314	-105552848118
STPT(10)	1931595503117804129	0 2 12 14 90 92 168 170 180 182	376884626322
STPT(10)	1931595680172918671	0 2 6 8 18 20 30 32 36 38	553939740864
SPT(16)	1931595892781274271	0 12 52 58 70 82 96 100 168 172 186 198 210 216 256 268	766548096464
STPT(10)	1931596337211446819	0 2 12 14 90 92 168 170 180 182	1210978269012
SPT(16)	1931596402637042569	0 52 70 72 84 154 190 204 268 282 318 388 400 402 420 472	1276403864762