Prime p₀= 2729499532270612951 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 30 8 24 6 22 48 62 48 22 6 24 8 30 10 (?)
a_n: 0 10 40 48 72 78 100 148 210 258 280 286 310 318 348 358
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: 358
Found by: JayPi
db: batch=82, k=16, 10 30 8 24 6 22 48 62

SPT(16)	2729498043569450347	0 64 76 82 106 112 120 220 276 376 384 390 414 420 432 496	-1488701162604
STPT(10)	2729498210755608221	0 2 96 98 138 140 180 182 276 278	-1321515004730
SPT(16)	2729498501889760873	0 34 54 70 76 138 150 154 390 394 406 468 474 490 510 544	-1030380852078
SPT(16)	2729498665223574553	0 18 36 40 108 124 138 150 184 196 210 226 294 298 316 334	-867047038398
STPT(10)	2729499125956564691	0 2 36 38 78 80 120 122 156 158	-406314048260
STPT(10)	2729499378316070387	0 2 30 32 42 44 54 56 84 86	-153954542564
SPT(16)	2729499748213789037	0 14 32 42 50 62 90 102 134 146 174 186 194 204 222 236	215943176086
STPT(10)	2729500193198248541	0 2 36 38 78 80 120 122 156 158	660927635590
TPT(14)	2729500210213318427	0 2 12 14 42 44 72 74 90 92 114 116 132 134	677942705476
SPT(16)	2729500382185944421	0 18 40 42 52 108 138 162 196 220 250 306 316 318 340 358	849915331470
SPT(16)	2729500505126085133	0 6 34 36 78 100 114 130 144 160 174 196 238 240 268 274	972855472182