Prime p₀= 2623597374442759289 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: biodoc
db: batch=82, k=12, 2 10 2 28 2 34

SPT(16)	2623595950871322521	0 2 8 20 86 92 122 156 182 216 246 252 318 330 336 338	-1423571436768
SPT(16)	2623595989153112383	0 4 46 60 88 126 154 180 244 270 298 336 364 378 420 424	-1385289646906
STPT(10)	2623596056364274631	0 2 6 8 48 50 90 92 96 98	-1318078484658
STPT(10)	2623596960202490927	0 2 30 32 72 74 114 116 144 146	-414240268362
STPT(10)	2623597163700432089	0 2 18 20 30 32 42 44 60 62	-210742327200
TPT(14)	2623597374442759241	0 2 48 50 60 62 90 92 126 128 156 158 168 170	-48
SPT(16)	2623597418488080157	0 30 76 84 112 156 160 180 226 246 250 294 322 330 376 406	44045320868
SPT(16)	2623597983974916523	0 70 78 100 108 138 148 154 180 186 196 226 234 256 264 334	609532157234
SPT(16)	2623598161269458977	0 16 22 30 76 142 160 216 226 282 300 366 412 420 426 442	786826699688
STPT(10)	2623598577405095909	0 2 48 50 90 92 132 134 180 182	1202962336620
STPT(10)	2623599389391575447	0 2 30 32 72 74 114 116 144 146	2014948816158