Prime p₀= 779475745276760681 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 40 2 64 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 156 158 198 200 246 248
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: 248
Found by: Frank [NT]
db: batch=73, k=12, 2 46 2 40 2 64

SPT(16)	779475178996199393	0 36 60 66 74 80 86 120 164 198 204 210 218 224 248 284	-566280561288
STPT(10)	779475220690560299	0 2 12 14 90 92 168 170 180 182	-524586200382
SPT(16)	779475314857910369	0 2 14 72 90 110 114 150 212 248 252 272 290 348 360 362	-430418850312
SPT(16)	779475432115055033	0 24 50 54 74 80 98 120 158 180 198 204 224 228 254 278	-313161705648
SPT(16)	779475579228822793	0 48 64 66 70 76 94 150 154 210 228 234 238 240 256 304	-166047937888
TPT(14)	779475745276760627	0 2 54 56 102 104 144 146 210 212 252 254 300 302	-54
STPT(10)	779476146885021371	0 2 36 38 78 80 120 122 156 158	401608260690
SPT(16)	779476917185289833	0 26 30 48 54 68 96 116 138 158 186 200 206 224 228 254	1171908529152
STPT(10)	779477029203103337	0 2 12 14 42 44 72 74 84 86	1283926342656
STPT(10)	779477291145502289	0 2 18 20 30 32 42 44 60 62	1545868741608
SPT(16)	779477291802142721	0 30 68 102 116 140 152 162 176 186 198 222 236 270 308 338	1546525382040