Prime p₀= 751952573340471781 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 12 30 18 24 78 78 24 18 30 12 6 (?)
a_n: 0 6 18 48 66 90 168 246 270 288 318 330 336
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: 336
Found by: GLeeM
db: batch=73, k=13, 6 12 30 18 24 78

SPT(16)	751951993596859141	0 10 16 126 172 190 192 232 240 280 282 300 346 456 462 472	-579743612640
STPT(10)	751952235093378887	0 2 12 14 42 44 72 74 84 86	-338247092894
SPT(16)	751952285856818887	0 10 16 36 84 100 114 126 130 142 156 172 220 240 246 256	-287483652894
SPT(16)	751952339991944131	0 40 66 88 112 118 126 166 222 262 270 276 300 322 348 388	-233348527650
STPT(10)	751952443323351071	0 2 6 8 48 50 90 92 96 98	-130017120710
TPT(14)	751952494588335371	0 2 36 38 78 80 126 128 216 218 240 242 270 272	-78752136410
STPT(10)	751952606515538567	0 2 12 14 42 44 72 74 84 86	33175066786
STPT(10)	751952691120867239	0 2 12 14 90 92 168 170 180 182	117780395458
SPT(16)	751952729448082373	0 24 66 74 116 144 156 168 236 248 260 288 330 338 380 404	156107610592
SPT(16)	751952922237773281	0 16 42 46 60 88 90 132 166 208 210 238 252 256 282 298	348897301500
SPT(18)	751952925130465313	0 38 80 84 140 176 188 236 258 296 318 366 378 414 470 474 516 554	351789993532