Prime p₀= 2345751743500875383 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 6 28 98 54 24 4 68 4 24 54 98 28 6 44 (?)
a_n: 0 44 50 78 176 230 254 258 326 330 354 408 506 534 540 584
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: 584
Found by: JonS
db: batch=81, k=16, 44 6 28 98 54 24 4 68

SPT(16)	2345750656253639119	0 42 72 88 90 102 114 118 144 148 160 172 174 190 220 262	-1087247236264
SPT(16)	2345751129735812021	0 48 60 90 132 146 152 158 210 216 222 236 278 308 320 368	-613765063362
SPT(16)	2345751478360161791	0 20 30 38 50 78 108 128 132 152 182 210 222 230 240 260	-265140713592
STPT(10)	2345751570749176691	0 2 6 8 48 50 90 92 96 98	-172751698692
STPT(10)	2345751640916350127	0 2 24 26 42 44 60 62 84 86	-102584525256
SPT(16)	2345751672281397461	0 20 42 90 110 116 132 180 182 230 246 252 272 320 342 362	-71219477922
SPT(16)	2345752048321427371	0 6 16 106 108 112 118 126 142 150 156 160 162 252 262 268	304820551988
STPT(10)	2345752157027410667	0 2 30 32 42 44 54 56 84 86	413526535284
STPT(10)	2345752237861161527	0 2 30 32 72 74 114 116 144 146	494360286144
STPT(10)	2345752580471239361	0 2 36 38 78 80 120 122 156 158	836970363978
STPT(10)	2345752811585730011	0 2 90 92 108 110 126 128 216 218	1068084854628