Prime p₀= 2396097238352866337 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 40 2 4 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 90 92 132 134 174 176
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: 176
Found by: [AF] Kalianthys
db: batch=81, k=12, 2 40 2 40 2 4

SPT(16)	2396095911274523179	0 22 60 94 102 154 190 222 262 294 330 382 390 424 462 484	-1327078343158
SPT(16)	2396096049189476089	0 22 30 54 60 84 100 120 214 234 250 274 280 304 312 334	-1189163390248
SPT(16)	2396096289103387691	0 2 20 56 62 72 80 86 186 192 200 210 216 252 270 272	-949249478646
SPT(16)	2396096413689772897	0 4 24 42 46 90 94 96 160 162 166 210 214 232 252 256	-824663093440
SPT(16)	2396096451663272849	0 12 18 32 38 60 78 98 162 182 200 222 228 242 248 260	-786689593488
STPT(10)	2396097171279544529	0 2 18 20 30 32 42 44 60 62	-67073321808
STPT(10)	2396097405008153849	0 2 30 32 60 62 90 92 120 122	166655287512
SPT(13)	2396097410442093283	0 6 18 48 78 126 168 210 258 288 318 330 336	172089226946
STPT(12)	2396097418140611789	0 2 30 32 42 44 48 50 60 62 90 92	179787745452
SPT(16)	2396097520008792421	0 40 42 90 118 120 126 150 208 232 238 240 268 316 318 358	281655926084
SPT(16)	2396097853334264873	0 68 84 98 110 146 164 188 336 360 378 414 426 440 456 524	614981398536