Prime p₀= 779692559354861519 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: arkiss
db: batch=73, k=12, 2 10 2 28 2 4

STPT(10)	779691901381338269	0 2 42 44 60 62 78 80 120 122	-657973523250
STPT(10)	779691982608645047	0 2 30 32 42 44 54 56 84 86	-576746216472
STPT(10)	779692037205250157	0 2 42 44 102 104 162 164 204 206	-522149611362
SPT(16)	779692380974677943	0 24 38 50 78 80 104 126 188 210 234 236 264 276 290 314	-178380183576
SPT(16)	779692417974912803	0 6 18 36 96 110 128 144 170 186 204 218 278 296 308 314	-141379948716
SPT(16)	779692488592978403	0 14 24 114 134 150 170 186 224 240 260 276 296 386 396 410	-70761883116
STPT(10)	779692676075204207	0 2 30 32 42 44 54 56 84 86	116720342688
SPT(16)	779692719260614153	0 18 30 40 54 64 100 166 228 294 330 340 354 364 376 394	159905752634
SPT(16)	779692798561425289	0 58 72 90 118 132 168 204 238 274 310 324 352 370 384 442	239206563770
TPT(14)	779693319649931429	0 2 12 14 42 44 78 80 108 110 138 140 162 164	760295069910
STPT(10)	779693561038412567	0 2 30 32 42 44 54 56 84 86	1001683551048