Prime p₀= 1060459679969762999 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: stoneageman
db: batch=76, k=12, 2 10 2 28 2 34

STPT(10)	1060458655248436259	0 2 12 14 30 32 48 50 60 62	-1024721326740
SPT(16)	1060458797891266481	0 38 60 110 116 170 180 206 240 266 276 330 336 386 408 446	-882078496518
STPT(10)	1060458896197127039	0 2 18 20 30 32 42 44 60 62	-783772635960
SPT(16)	1060459152849551743	0 16 54 60 70 120 144 166 168 190 214 264 274 280 318 334	-527120211256
STPT(10)	1060459380002648201	0 2 36 38 78 80 120 122 156 158	-299967114798
STPT(10)	1060459561094375459	0 2 42 44 90 92 138 140 180 182	-118875387540
SPT(16)	1060460137291837351	0 12 76 90 108 138 142 220 258 336 340 370 388 402 466 478	457322074352
SPT(18)	1060460415650088073	0 48 54 88 90 96 144 148 154 180 186 190 238 244 246 280 286 334	735680325074
STPT(10)	1060460618448980249	0 2 48 50 90 92 132 134 180 182	938479217250
SPT(16)	1060460621952330019	0 18 22 42 70 72 78 84 88 94 100 102 130 150 154 172	941982567020
STPT(10)	1060460625412552979	0 2 18 20 30 32 42 44 60 62	945442789980