Prime p₀= 1278028659121106653 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 66 24 36 18 10 32 4 44 4 32 10 18 36 24 66 (?)
a_n: 0 66 90 126 144 154 186 190 234 238 270 280 298 334 358 424
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: 424
Found by: HenkM
db: batch=77, k=16, 66 24 36 18 10 32 4 44

STPT(10)	1278027068753408591	0 2 36 38 78 80 120 122 156 158	-1590367698062
SPT(16)	1278027253723921859	0 48 68 104 144 174 198 254 324 380 404 434 474 510 530 578	-1405397184794
SPT(16)	1278027814403001847	0 16 30 40 42 54 126 132 184 190 262 274 276 286 300 316	-844718104806
STPT(10)	1278027845364238511	0 2 6 8 48 50 90 92 96 98	-813756868142
STPT(10)	1278028303835778347	0 2 30 32 72 74 114 116 144 146	-355285328306
SPT(16)	1278028570469178013	0 76 106 114 148 168 220 234 250 264 316 336 370 378 408 484	-88651928640
STPT(10)	1278028687368118097	0 2 24 26 42 44 60 62 84 86	28247011444
SPT(16)	1278029026454230471	0 22 40 42 66 72 82 88 120 126 136 142 166 168 186 208	367333123818
SPT(16)	1278029191856796889	0 34 42 72 90 94 124 132 220 228 258 262 280 310 318 352	532735690236
STPT(10)	1278029487769649117	0 2 24 26 42 44 60 62 84 86	828648542464
SPT(16)	1278029561256900979	0 28 48 52 70 108 150 154 198 202 244 282 300 304 324 352	902135794326