Prime p₀= 1465707100382854321 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 12 30 24 6 30 24 24 30 6 24 30 12 (?)
a_n: 0 12 42 66 72 102 126 150 180 186 210 240 252
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 252
Found by: Theadalus
db: batch=78, k=13, 12 30 24 6 30 24

SPT(16)	1465706348937502801	0 10 28 48 52 76 82 96 112 126 132 156 160 180 198 208	-751445351520
TPT(14)	1465706453998726109	0 2 30 32 60 62 120 122 132 134 228 230 300 302	-646384128212
STPT(10)	1465706519042285519	0 2 18 20 30 32 42 44 60 62	-581340568802
SPT(16)	1465706866041821041	0 22 60 70 78 112 136 220 288 372 396 430 438 448 486 508	-234341033280
STPT(10)	1465706885421024689	0 2 42 44 60 62 78 80 120 122	-214961829632
STPT(10)	1465706946255998627	0 2 30 32 42 44 54 56 84 86	-154126855694
SPT(16)	1465707148964189203	0 10 30 36 78 88 100 106 198 204 216 226 268 274 294 304	48581334882
STPT(10)	1465707402597233357	0 2 42 44 72 74 102 104 144 146	302214379036
STPT(10)	1465707756544076831	0 2 30 32 60 62 90 92 120 122	656161222510
SPT(16)	1465707804518251829	0 2 20 62 72 80 98 134 168 204 222 230 240 282 300 302	704135397508
SPT(16)	1465707857723237263	0 4 18 46 58 66 106 150 154 198 238 246 258 286 300 304	757340382942