Prime p₀= 732337658716030007 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: Theadalus
db: batch=73, k=12, 2 10 2 40 2 4

STPT(10)	732336743863289231	0 2 6 8 18 20 30 32 36 38	-914852740776
SPT(16)	732336795562154557	0 12 40 42 60 90 102 124 132 154 166 196 214 216 244 256	-863153875450
SPT(18)	732336930708105661	0 42 52 66 70 78 126 136 138 220 222 232 280 288 292 306 316 358	-728007924346
SPT(16)	732337036015236361	0 42 58 78 112 150 160 178 222 240 250 288 322 342 358 400	-622700793646
STPT(10)	732337526234474057	0 2 60 62 72 74 84 86 144 146	-132481555950
SPT(16)	732337529332765157	0 44 72 84 96 114 152 162 194 204 242 260 272 284 312 356	-129383264850
STPT(10)	732337923154033319	0 2 12 14 30 32 48 50 60 62	264438003312
SPT(16)	732338052577821421	0 40 46 90 102 166 172 196 312 336 342 406 418 462 468 508	393861791414
SPT(16)	732338110654428511	0 22 46 78 112 136 160 186 202 228 252 276 310 342 366 388	451938398504
SPT(16)	732338153955577033	0 40 46 90 118 148 160 198 256 294 306 336 364 408 414 454	495239547026
STPT(10)	732338378649572879	0 2 18 20 30 32 42 44 60 62	719933542872