Prime p₀= 2779827449295529847 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 46 2 22 2 46 2 10 2 (?)
a_n: 0 2 12 14 60 62 84 86 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=12, 2 10 2 46 2 22

SPT(16)	2779825365046048727	0 66 104 114 116 140 182 204 212 234 276 300 302 312 350 416	-2084249481120
SPT(16)	2779825370699090261	0 18 38 62 66 80 120 126 182 188 228 242 246 270 290 308	-2078596439586
SPT(20)	2779826385695537047	0 6 42 94 114 126 136 210 226 234 262 270 286 360 370 382 402 454 490 496	-1063599992800
STPT(10)	2779826945488261259	0 2 48 50 90 92 132 134 180 182	-503807268588
STPT(10)	2779826987873149187	0 2 30 32 42 44 54 56 84 86	-461422380660
STPT(10)	2779826996242944677	0 2 30 32 42 44 54 56 84 86	-453052585170
SPT(18)	2779827471522684029	0 2 12 18 38 72 80 84 102 110 128 132 140 174 194 200 210 212	22227154182
SPT(16)	2779827512483605567	0 16 42 46 54 84 124 126 130 132 172 202 210 214 240 256	63188075720
TPT(14)	2779827616977403061	0 2 66 68 156 158 168 170 186 188 198 200 210 212	167681873214
SPT(16)	2779827648450479749	0 28 48 72 78 82 100 114 118 132 150 154 160 184 204 232	199154949902
SPT(16)	2779827711869758201	0 36 40 58 60 66 72 82 126 136 142 148 150 168 172 208	262574228354