Prime p₀= 2367125637350905423 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 102 28 24 36 30 8 76 8 30 36 24 28 102 6 (?)
a_n: 0 6 108 136 160 196 226 234 310 318 348 384 408 436 538 544
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: 544
Found by: ChUcK
db: batch=81, k=16, 6 102 28 24 36 30 8 76

SPT(16)	2367123517983464453	0 44 78 104 134 146 156 170 264 278 288 300 330 356 390 434	-2119367440970
STPT(10)	2367123830679253559	0 2 42 44 90 92 138 140 180 182	-1806671651864
STPT(10)	2367124057422132257	0 2 12 14 42 44 72 74 84 86	-1579928773166
SPT(16)	2367124465347022807	0 6 34 90 100 130 174 184 186 196 240 270 280 336 364 370	-1172003882616
STPT(10)	2367124536068402531	0 2 36 38 78 80 120 122 156 158	-1101282502892
SPT(13)	2367125023260053389	0 12 42 48 60 78 90 102 120 132 138 168 180	-614090852034
STPT(10)	2367125792135235881	0 2 36 38 78 80 120 122 156 158	154784330458
TPT(14)	2367126151689415757	0 2 54 56 60 62 102 104 114 116 240 242 312 314	514338510334
SPT(16)	2367126430683651401	0 48 56 86 90 108 140 156 182 198 230 248 252 282 290 338	793332745978
STPT(10)	2367126538920342149	0 2 18 20 30 32 42 44 60 62	901569436726
STPT(10)	2367126729125713169	0 2 18 20 30 32 42 44 60 62	1091774807746