Prime p₀= 2345751672281397461 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 22 48 20 6 16 48 2 48 16 6 20 48 22 20 (?)
a_n: 0 20 42 90 110 116 132 180 182 230 246 252 272 320 342 362
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: 362
Found by: JonS
db: batch=81, k=16, 20 22 48 20 6 16 48 2

STPT(10)	2345750177266409117	0 2 12 14 42 44 72 74 84 86	-1495014988344
SPT(16)	2345750656253639119	0 42 72 88 90 102 114 118 144 148 160 172 174 190 220 262	-1016027758342
SPT(16)	2345751129735812021	0 48 60 90 132 146 152 158 210 216 222 236 278 308 320 368	-542545585440
SPT(16)	2345751478360161791	0 20 30 38 50 78 108 128 132 152 182 210 222 230 240 260	-193921235670
STPT(10)	2345751570749176691	0 2 6 8 48 50 90 92 96 98	-101532220770
STPT(10)	2345751640916350127	0 2 24 26 42 44 60 62 84 86	-31365047334
SPT(16)	2345751743500875383	0 44 50 78 176 230 254 258 326 330 354 408 506 534 540 584	71219477922
SPT(16)	2345752048321427371	0 6 16 106 108 112 118 126 142 150 156 160 162 252 262 268	376040029910
STPT(10)	2345752157027410667	0 2 30 32 42 44 54 56 84 86	484746013206
STPT(10)	2345752237861161527	0 2 30 32 72 74 114 116 144 146	565579764066
STPT(10)	2345752580471239361	0 2 36 38 78 80 120 122 156 158	908189841900