Prime p₀= 2798496914554259747 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 52 2 34 2 82 2 34 2 52 2 (?)
a_n: 0 2 54 56 90 92 174 176 210 212 264 266
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: 266
Found by: dthonon
db: batch=82, k=12, 2 52 2 34 2 82

SPT(16)	2798494632718734107	0 6 26 42 44 90 156 170 186 200 266 312 314 330 350 356	-2281835525640
SPT(16)	2798494894901812783	0 18 28 34 66 94 118 130 174 186 210 238 270 276 286 304	-2019652446964
SPT(16)	2798495664772736723	0 6 26 60 68 138 146 156 200 210 218 288 296 330 350 356	-1249781523024
SPT(16)	2798496160729982941	0 16 18 28 76 82 96 118 180 202 216 222 270 280 282 298	-753824276806
STPT(10)	2798496637346907779	0 2 42 44 60 62 78 80 120 122	-277207351968
STPT(10)	2798496833483516507	0 2 24 26 42 44 60 62 84 86	-81070743240
SPT(16)	2798496955312885829	0 38 60 78 84 90 104 162 170 228 242 248 254 272 294 332	40758626082
SPT(16)	2798497076082406961	0 20 38 92 98 108 140 150 188 198 230 240 246 300 318 338	161528147214
STPT(10)	2798497315921765691	0 2 36 38 78 80 120 122 156 158	401367505944
TPT(14)	2798497602432242537	0 2 30 32 54 56 114 116 162 164 204 206 222 224	687877982790
STPT(10)	2798497876919294651	0 2 6 8 48 50 90 92 96 98	962365034904