Prime p₀= 1975167583786493477 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 64 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 120 122 162 164 174 176
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: Landjunge
db: batch=80, k=12, 2 10 2 40 2 64

STPT(10)	1975166182493805989	0 2 78 80 120 122 162 164 240 242	-1401292687488
STPT(12)	1975166567175267071	0 2 48 50 90 92 168 170 210 212 258 260	-1016611226406
SPT(16)	1975166727553037429	0 42 90 92 98 144 152 180 182 210 218 264 270 272 320 362	-856233456048
SPT(16)	1975166852216006873	0 30 48 74 84 186 188 194 300 306 308 410 420 446 464 494	-731570486604
SPT(16)	1975167233199023767	0 10 22 36 52 66 100 112 144 156 190 204 220 234 246 256	-350587469710
STPT(10)	1975167430898393267	0 2 30 32 42 44 54 56 84 86	-152888100210
SPT(16)	1975167707244887509	0 12 22 70 78 82 84 100 102 118 120 124 132 180 190 202	123458394032
SPT(16)	1975167855324134969	0 60 78 80 98 110 128 134 144 150 168 180 198 200 218 278	271537641492
SPT(16)	1975167981429034943	0 26 78 144 168 176 180 200 204 224 228 236 260 326 378 404	397642541466
TPT(14)	1975168604362616807	0 2 72 74 102 104 174 176 210 212 312 314 552 554	1020576123330
SPT(16)	1975168618729030499	0 12 42 78 98 102 104 120 242 258 260 264 284 320 350 362	1034942537022