Prime p₀= 2393762169256413671 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 28 2 160 2 28 2 16 2 (?)
a_n: 0 2 18 20 48 50 210 212 240 242 258 260
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: 260
Found by: MarkRBright
db: batch=81, k=12, 2 16 2 28 2 160

SPT(16)	2393760016869249949	0 12 30 64 100 118 160 162 250 252 294 312 348 382 400 412	-2152387163722
STPT(10)	2393760017615052311	0 2 36 38 78 80 120 122 156 158	-2151641361360
SPT(16)	2393760228873090599	0 48 54 60 74 78 104 114 158 168 194 198 212 218 224 272	-1940383323072
STPT(10)	2393760438386719187	0 2 30 32 60 62 90 92 120 122	-1730869694484
SPT(16)	2393761050217519351	0 36 42 46 102 120 166 220 222 276 322 340 396 400 406 442	-1119038894320
SPT(13)	2393761568439149003	0 30 54 144 174 210 240 270 306 336 426 450 480	-600817264668
SPT(16)	2393762237921204383	0 6 46 48 88 106 136 148 156 168 198 216 256 258 298 304	68664790712
TPT(14)	2393762428997861771	0 2 90 92 120 122 210 212 246 248 306 308 348 350	259741448100
STPT(10)	2393762549110643741	0 2 30 32 60 62 90 92 120 122	379854230070
SPT(16)	2393762806700340199	0 28 64 78 94 144 172 208 234 270 298 348 364 378 414 442	637443926528
STPT(10)	2393763216011765627	0 2 30 32 42 44 54 56 84 86	1046755351956