Prime p₀= 1465059068261113763 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 12 16 68 22 12 6 26 6 12 22 68 16 12 8 (?)
a_n: 0 8 20 36 104 126 138 144 170 176 188 210 278 294 306 314
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: 314
Found by: Theadalus
db: batch=78, k=16, 8 12 16 68 22 12 6 26

SPT(16)	1465057354683616171	0 18 46 48 88 100 150 210 286 346 396 408 448 450 478 496	-1713577497592
SPT(16)	1465057542786896497	0 60 64 82 90 112 124 154 222 252 264 286 294 312 316 376	-1525474217266
STPT(10)	1465057791023915909	0 2 18 20 30 32 42 44 60 62	-1277237197854
STPT(10)	1465058372097898547	0 2 30 32 72 74 114 116 144 146	-696163215216
SPT(16)	1465058386238350807	0 16 22 30 96 112 120 124 222 226 234 250 316 324 330 346	-682022762956
TPT(14)	1465058720645700161	0 2 18 20 48 50 78 80 90 92 126 128 156 158	-347615413602
STPT(10)	1465059625126899407	0 2 12 14 72 74 132 134 144 146	556865785644
SPT(16)	1465059899786118553	0 78 114 124 130 184 246 256 288 298 360 414 420 430 466 544	831525004790
STPT(10)	1465060493160422297	0 2 60 62 72 74 84 86 144 146	1424899308534
TPT(14)	1465060544061064259	0 2 12 14 72 74 138 140 180 182 210 212 240 242	1475799950496
TPT(14)	1465060731022494719	0 2 78 80 120 122 180 182 192 194 222 224 252 254	1662761380956