Prime p₀= 1540014255983466979 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 12 24 6 14 4 12 68 12 4 14 6 24 12 58 (?)
a_n: 0 58 70 94 100 114 118 130 198 210 214 228 234 258 270 328
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: 328
Found by: crashtech
db: batch=78, k=16, 58 12 24 6 14 4 12 68

SPT(16)	1540012887285700327	0 42 120 132 142 174 184 196 210 222 232 264 274 286 364 406	-1368697766652
STPT(10)	1540013343219846797	0 2 30 32 42 44 54 56 84 86	-912763620182
TPT(14)	1540013764242779867	0 2 42 44 114 116 192 194 222 224 312 314 354 356	-491740687112
SPT(16)	1540013886334993679	0 8 24 68 74 78 102 150 152 200 224 228 234 278 294 302	-369648473300
TPT(14)	1540014024435674111	0 2 60 62 78 80 186 188 216 218 228 230 258 260	-231547792868
SPT(16)	1540014189582558181	0 6 60 72 76 88 90 120 238 268 270 282 286 298 352 358	-66400908798
SPT(16)	1540014599156626699	0 18 30 52 84 94 100 138 184 222 228 238 270 292 304 322	343173159720
STPT(10)	1540014843652879199	0 2 12 14 90 92 168 170 180 182	587669412220
SPT(16)	1540015013143082537	0 12 20 24 32 42 54 80 84 110 122 132 140 144 152 164	757159615558
SPT(16)	1540015356859686607	0 10 40 46 70 96 120 162 304 346 370 396 420 426 456 466	1100876219628
STPT(10)	1540015389830080937	0 2 54 56 72 74 90 92 144 146	1133846613958