Prime p₀= 1424871990344215997 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: Theadalus
db: batch=78, k=12, 2 22 2 58 2 64

SPT(16)	1424870603798357941	0 70 78 82 108 136 142 190 198 246 252 280 306 310 318 388	-1386545858056
STPT(10)	1424870768258632991	0 2 6 8 18 20 30 32 36 38	-1222085583006
SPT(16)	1424870887097975609	0 12 50 78 92 110 132 140 222 230 252 270 284 312 350 362	-1103246240388
STPT(10)	1424871222952977851	0 2 6 8 18 20 30 32 36 38	-767391238146
SPT(16)	1424871489022337669	0 8 54 60 62 84 102 140 222 260 278 300 302 308 354 362	-501321878328
STPT(10)	1424871560095696409	0 2 12 14 90 92 168 170 180 182	-430248519588
SPT(16)	1424871998464913941	0 12 66 76 82 96 106 148 150 192 202 216 222 232 286 298	8120697944
SPT(16)	1424872249580445797	0 24 74 92 96 134 140 150 176 186 192 230 234 252 302 326	259236229800
TPT(14)	1424872288738984247	0 2 54 56 120 122 204 206 222 224 240 242 264 266	298394768250
SPT(16)	1424872569101913913	0 10 60 88 90 148 258 276 280 298 408 466 468 496 546 556	578757697916
STPT(10)	1424872591755883889	0 2 12 14 90 92 168 170 180 182	601411667892