Prime p₀= 2506167220454984963 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 26 4 36 6 24 6 8 6 24 6 36 4 26 18 (?)
a_n: 0 18 44 48 84 90 114 120 128 134 158 164 200 204 230 248
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: 248
Found by: JayPi
db: batch=82, k=16, 18 26 4 36 6 24 6 8

SPT(16)	2506165542228974243	0 24 36 60 66 158 168 206 288 326 336 428 434 458 470 494	-1678226010720
STPT(10)	2506165610309142317	0 2 30 32 42 44 54 56 84 86	-1610145842646
STPT(10)	2506166346304720667	0 2 12 14 42 44 72 74 84 86	-874150264296
TPT(14)	2506166625528895949	0 2 42 44 102 104 168 170 198 200 228 230 252 254	-594926089014
SPT(16)	2506166912311033837	0 22 64 84 130 132 144 160 216 232 244 246 292 312 354 376	-308143951126
STPT(10)	2506166962777056947	0 2 30 32 42 44 54 56 84 86	-257677928016
STPT(10)	2506167540018966557	0 2 24 26 42 44 60 62 84 86	319563981594
TPT(14)	2506167909554637929	0 2 12 14 18 20 72 74 150 152 210 212 252 254	689099652966
SPT(16)	2506167955071025807	0 6 16 84 136 160 172 196 300 324 336 360 412 480 490 496	734616040844
STPT(10)	2506168487182620719	0 2 18 20 30 32 42 44 60 62	1266727635756
STPT(10)	2506168487660342777	0 2 24 26 42 44 60 62 84 86	1267205357814