Prime p₀= 2639176462805956369 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 18 12 48 24 18 18 24 48 12 18 30 (?)
a_n: 0 30 48 60 108 132 150 168 192 240 252 270 300
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: 300
Found by: JayPi
db: batch=82, k=13, 30 18 12 48 24 18

SPT(16)	2639175049273172701	0 22 40 118 186 232 238 240 298 300 306 352 420 498 516 538	-1413532783668
STPT(10)	2639175165129069557	0 2 12 14 72 74 132 134 144 146	-1297676886812
STPT(10)	2639175690890923799	0 2 18 20 30 32 42 44 60 62	-771915032570
SPT(16)	2639175766041663059	0 12 14 24 38 54 72 122 210 260 278 294 308 318 320 332	-696764293310
STPT(10)	2639176243524989027	0 2 30 32 72 74 114 116 144 146	-219280967342
SPT(18)	2639176257507911371	0 12 28 48 126 138 172 186 196 222 232 246 280 292 370 390 406 418	-205298044998
SPT(16)	2639176622717790083	0 38 78 84 96 104 110 140 144 174 180 188 200 206 246 284	159911833714
SPT(16)	2639176814745543799	0 12 88 90 100 138 168 172 210 214 244 282 292 294 370 382	351939587430
STPT(12)	2639176918236451979	0 2 12 14 72 74 78 80 138 140 150 152	455430495610
STPT(10)	2639177197218384671	0 2 30 32 60 62 90 92 120 122	734412428302
TPT(14)	2639177772897079109	0 2 12 14 48 50 90 92 132 134 150 152 168 170	1310091122740