Prime p₀= 976078333993390907 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: [SG-2W]Kurzer
db: batch=76, k=12, 2 10 2 10 2 4

STPT(10)	976077152678005661	0 2 90 92 108 110 126 128 216 218	-1181315385246
SPT(16)	976077443487712147	0 4 24 66 106 112 150 154 222 226 264 270 310 352 372 376	-890505678760
SPT(16)	976077647381017219	0 22 34 52 64 78 90 108 124 142 154 168 180 198 210 232	-686612373688
TPT(14)	976078006933001351	0 2 36 38 96 98 108 110 150 152 156 158 210 212	-327060389556
TPT(14)	976078197241732577	0 2 24 26 42 44 54 56 114 116 192 194 234 236	-136751658330
SPT(16)	976078277640990257	0 32 42 56 84 132 152 156 170 174 194 242 270 284 294 326	-56352400650
SPT(18)	976078692613420183	0 28 40 64 100 118 154 156 168 286 298 300 336 354 390 414 426 454	358620029276
TPT(14)	976078809737830787	0 2 60 62 72 74 102 104 162 164 174 176 240 242	475744439880
SPT(16)	976079277226358573	0 6 14 20 36 56 78 80 144 146 168 188 204 210 218 224	943232967666
SPT(16)	976079429781683147	0 32 42 56 110 182 200 260 312 372 390 462 516 530 540 572	1095788292240
STPT(10)	976079554075559147	0 2 30 32 42 44 54 56 84 86	1220082168240