Prime p₀= 2515589156763116453 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 22 56 24 16 6 8 28 8 6 16 24 56 22 56 (?)
a_n: 0 56 78 134 158 174 180 188 216 224 230 246 270 326 348 404
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: 404
Found by: Hightower
db: batch=82, k=16, 56 22 56 24 16 6 8 28

SPT(16)	2515587609939923903	0 26 30 44 54 66 86 108 116 138 158 170 180 194 198 224	-1546823192550
STPT(10)	2515588300704321539	0 2 12 14 90 92 168 170 180 182	-856058794914
SPT(16)	2515588500790017617	0 12 26 86 132 170 194 216 230 252 276 314 360 420 434 446	-655973098836
SPT(16)	2515588507938379567	0 12 36 66 82 96 100 126 136 162 166 180 196 226 250 262	-648824736886
SPT(16)	2515588889753991827	0 20 24 62 66 72 86 144 152 210 224 230 234 272 276 296	-267009124626
STPT(10)	2515589035577100347	0 2 42 44 72 74 102 104 144 146	-121186016106
STPT(10)	2515589375561327621	0 2 6 8 48 50 90 92 96 98	218798211168
STPT(10)	2515589641492663961	0 2 36 38 78 80 120 122 156 158	484729547508
STPT(10)	2515589850783789737	0 2 12 14 42 44 72 74 84 86	694020673284
SPT(16)	2515590195386896841	0 12 42 72 78 80 92 122 126 156 168 170 176 206 236 248	1038623780388
SPT(16)	2515590218408042497	0 46 52 64 66 106 112 126 130 144 150 190 192 204 210 256	1061644926044