Prime p₀= 3031754400409329449 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 50 24 60 18 10 32 70 26 70 32 10 18 60 24 50 (?)
a_n: 0 50 74 134 152 162 194 264 290 360 392 402 420 480 504 554
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: 554
Found by: Alnitak2019
db: batch=82, k=16, 50 24 60 18 10 32 70 26

SPT(16)	3031752249068012537	0 36 56 96 132 134 146 152 204 210 222 224 260 300 320 356	-2151341316912
TPT(14)	3031752267356932157	0 2 42 44 84 86 252 254 294 296 384 386 420 422	-2133052397292
SPT(16)	3031752295467388357	0 12 30 72 82 154 252 280 294 322 420 492 502 544 562 574	-2104941941092
STPT(10)	3031752729862390379	0 2 18 20 30 32 42 44 60 62	-1670546939070
STPT(10)	3031753915934459579	0 2 48 50 90 92 132 134 180 182	-484474869870
SPT(16)	3031754089690015201	0 12 52 58 142 156 180 196 222 238 262 276 360 366 406 418	-310719314248
SPT(16)	3031754656405513501	0 78 88 136 138 172 270 280 348 358 456 490 492 540 550 628	255996184052
STPT(10)	3031754910203988149	0 2 18 20 30 32 42 44 60 62	509794658700
SPT(16)	3031755817146656221	0 30 42 76 100 112 130 138 160 168 186 198 222 256 268 298	1416737326772
STPT(10)	3031756083117722801	0 2 36 38 78 80 120 122 156 158	1682708393352
STPT(10)	3031756103307879929	0 2 42 44 60 62 78 80 120 122	1702898550480