Prime p₀= 2013746770845251357 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: Chooka
db: batch=80, k=12, 2 10 2 40 2 4

SPT(16)	2013745242865580837	0 30 44 84 90 104 170 174 182 186 252 266 272 312 326 356	-1527979670520
SPT(16)	2013745563619276523	0 14 38 44 116 126 128 164 270 306 308 318 390 396 420 434	-1207225974834
SPT(16)	2013745934239610033	0 24 36 56 66 108 114 140 144 170 176 218 228 248 260 284	-836605641324
TPT(14)	2013746057154537437	0 2 30 32 42 44 54 56 222 224 240 242 312 314	-713690713920
SPT(16)	2013746143667284687	0 30 36 72 82 96 100 112 204 216 220 234 244 280 286 316	-627177966670
SPT(16)	2013746617410523267	0 42 76 94 132 142 192 216 220 244 294 304 342 360 394 436	-153434728090
STPT(10)	2013746856974667569	0 2 18 20 30 32 42 44 60 62	86129416212
STPT(10)	2013746978202188807	0 2 30 32 42 44 54 56 84 86	207356937450
STPT(10)	2013747039833058107	0 2 30 32 42 44 54 56 84 86	268987806750
SPT(16)	2013747203264433907	0 4 70 90 102 154 160 222 232 294 300 352 364 384 450 454	432419182550
SPT(16)	2013748354969666961	0 6 8 20 32 42 60 92 156 188 206 216 228 240 242 248	1584124415604