Prime p₀= 3015901227346948463 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 18 32 12 12 30 24 16 24 30 12 12 32 18 6 (?)
a_n: 0 6 24 56 68 80 110 134 150 174 204 216 228 260 278 284
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: 284
Found by: ginga
db: batch=82, k=16, 6 18 32 12 12 30 24 16

SPT(16)	3015898123503992453	0 24 38 44 48 86 140 146 168 174 228 266 270 276 290 314	-3103842956010
STPT(10)	3015898327649870417	0 2 30 32 42 44 54 56 84 86	-2899697078046
STPT(10)	3015899972326149191	0 2 6 8 48 50 90 92 96 98	-1255020799272
SPT(16)	3015900413006825159	0 18 30 78 90 102 132 134 138 140 170 182 194 242 254 272	-814340123304
SPT(16)	3015900655835705203	0 46 48 60 70 108 124 150 154 180 196 234 244 256 258 304	-571511243260
STPT(10)	3015900826417887641	0 2 30 32 78 80 126 128 156 158	-400929060822
SPT(16)	3015901876688066413	0 6 40 46 60 66 76 150 196 270 280 286 300 306 340 346	649341117950
STPT(10)	3015901881340855601	0 2 6 8 48 50 90 92 96 98	653993907138
STPT(10)	3015902815266339377	0 2 30 32 42 44 54 56 84 86	1587919390914
SPT(16)	3015903012330702623	0 8 20 38 54 90 174 188 240 254 338 374 390 408 420 428	1784983754160
SPT(16)	3015903084531779821	0 10 22 40 58 142 166 208 210 252 276 360 378 396 408 418	1857184831358