Prime p₀= 2002353661268263727 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: Landjunge
db: batch=80, k=12, 2 10 2 16 2 22

TPT(14)	2002352247887595881	0 2 90 92 96 98 168 170 186 188 210 212 270 272	-1413380667846
SPT(16)	2002352340718851959	0 14 38 54 78 120 134 140 162 168 182 224 248 264 288 302	-1320549411768
SPT(16)	2002352706063572881	0 22 40 58 72 76 132 156 172 196 252 256 270 288 306 328	-955204690846
SPT(16)	2002352867300231011	0 52 66 96 126 132 166 228 250 312 346 352 382 412 426 478	-793968032716
STPT(10)	2002352945021973161	0 2 36 38 78 80 120 122 156 158	-716246290566
SPT(16)	2002353495229545541	0 6 18 30 58 70 118 252 286 420 468 480 508 520 532 538	-166038718186
TPT(14)	2002353960418865267	0 2 12 14 30 32 90 92 102 104 132 134 144 146	299150601540
TPT(14)	2002354073926675697	0 2 54 56 60 62 72 74 114 116 132 134 174 176	412658411970
STPT(10)	2002354183642758761	0 2 6 8 48 50 90 92 96 98	522374495034
SPT(16)	2002354331245820771	0 18 38 108 116 140 150 168 200 218 228 252 260 330 350 368	669977557044
STPT(10)	2002354743130548011	0 2 6 8 18 20 30 32 36 38	1081862284284