Prime p₀= 1588310365472564317 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 8 22 30 14 28 2 64 2 28 14 30 22 8 22 (?)
a_n: 0 22 30 52 82 96 124 126 190 192 220 234 264 286 294 316
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: 316
Found by: emoga
db: batch=78, k=16, 22 8 22 30 14 28 2 64

STPT(10)	1588308728655772547	0 2 30 32 72 74 114 116 144 146	-1636816791770
SPT(16)	1588309048542461683	0 18 40 76 144 154 210 246 298 334 390 400 468 504 526 544	-1316930102634
SPT(16)	1588309054702775359	0 48 52 78 100 114 118 154 198 234 238 252 274 300 304 352	-1310769788958
SPT(16)	1588309151533315907	0 14 50 104 120 126 146 204 356 414 434 440 456 510 546 560	-1213939248410
SPT(16)	1588309408178232073	0 10 36 66 76 90 96 120 124 148 154 168 178 208 234 244	-957294332244
STPT(10)	1588309424733684449	0 2 18 20 30 32 42 44 60 62	-940738879868
STPT(10)	1588310426863251197	0 2 12 14 42 44 72 74 84 86	61390686880
STPT(10)	1588310482108500119	0 2 12 14 30 32 48 50 60 62	116635935802
SPT(16)	1588310903345163671	0 18 56 60 62 72 92 122 126 156 176 186 188 192 230 248	537872599354
STPT(10)	1588310938975194491	0 2 36 38 78 80 120 122 156 158	573502630174
SPT(16)	1588311131400089849	0 48 60 84 104 114 134 140 162 168 188 198 218 242 254 302	765927525532