Prime p₀= 1264419011784722737 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 50 30 10 6 36 50 34 50 36 6 10 30 50 4 (?)
a_n: 0 4 54 84 94 100 136 186 220 270 306 312 322 352 402 406
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 406
Found by: Megacruncher
db: batch=77, k=16, 4 50 30 10 6 36 50 34

TPT(14)	1264417123871244947	0 2 114 116 132 134 240 242 270 272 294 296 324 326	-1887913477790
SPT(16)	1264417374906517607	0 32 72 86 116 144 146 152 174 180 182 210 240 254 294 326	-1636878205130
SPT(16)	1264418068347226829	0 12 14 32 38 44 72 84 98 110 138 144 150 168 170 182	-943437495908
STPT(10)	1264418235698701337	0 2 72 74 102 104 132 134 204 206	-776086021400
SPT(16)	1264418501385596827	0 30 34 40 46 54 70 90 166 186 202 210 216 222 226 256	-510399125910
SPT(16)	1264418875673018827	0 16 24 66 76 84 100 136 150 186 202 210 220 262 270 286	-136111703910
SPT(16)	1264419099553686913	0 16 36 84 96 100 114 126 154 166 180 184 196 244 264 280	87768964176
SPT(16)	1264420155484150193	0 8 26 68 126 144 156 194 270 308 320 338 396 438 456 464	1143699427456
STPT(10)	1264420208421250997	0 2 30 32 42 44 54 56 84 86	1196636528260
SPT(16)	1264420571116162627	0 6 40 66 70 84 90 112 114 136 142 156 160 186 220 226	1559331439890
STPT(10)	1264420772204624717	0 2 42 44 72 74 102 104 144 146	1760419901980