Prime p₀= 2702157955721800757 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 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: biodoc
db: batch=82, k=12, 2 22 2 4 2 22

SPT(16)	2702157018828348847	0 12 30 82 96 100 124 142 174 192 216 220 234 286 304 316	-936893451910
STPT(10)	2702157258633591929	0 2 18 20 30 32 42 44 60 62	-697088208828
SPT(16)	2702157286900424173	0 6 16 34 66 78 100 108 196 204 226 238 270 288 298 304	-668821376584
STPT(10)	2702157328337213441	0 2 30 32 78 80 126 128 156 158	-627384587316
SPT(16)	2702157380838301777	0 24 46 54 66 70 96 102 124 130 156 160 172 180 202 226	-574883498980
SPT(16)	2702157734295262343	0 48 60 66 86 104 174 176 198 200 270 288 308 314 326 374	-221426538414
SPT(16)	2702159683583361143	0 18 24 38 86 146 150 174 200 224 228 288 336 350 356 374	1727861560386
STPT(10)	2702160160987661147	0 2 12 14 72 74 132 134 144 146	2205265860390
STPT(10)	2702160250555705241	0 2 30 32 78 80 126 128 156 158	2294833904484
STPT(10)	2702160422117708309	0 2 18 20 30 32 42 44 60 62	2466395907552
STPT(10)	2702160903742891601	0 2 6 8 48 50 90 92 96 98	2948021090844