Prime p₀= 1245500728711468661 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 60 18 90 14 66 4 36 2 36 4 66 14 90 18 60 (?)
a_n: 0 60 78 168 182 248 252 288 290 326 330 396 410 500 518 578
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: 578
Found by: Megacruncher
db: batch=77, k=16, 60 18 90 14 66 4 36 2

SPT(16)	1245499348700095009	0 24 42 54 78 108 148 174 268 294 334 364 388 400 418 442	-1380011373652
STPT(10)	1245499505500127201	0 2 36 38 78 80 120 122 156 158	-1223211341460
SPT(16)	1245499937454816481	0 6 72 78 88 102 180 226 312 358 436 450 460 466 532 538	-791256652180
SPT(16)	1245500466989548039	0 4 28 34 48 54 70 84 124 138 154 160 174 180 204 208	-261721920622
STPT(10)	1245500675591786321	0 2 36 38 78 80 120 122 156 158	-53119682340
SPT(16)	1245500695300191607	0 34 60 96 106 132 166 186 190 210 244 270 280 316 342 376	-33411277054
STPT(10)	1245501040841520887	0 2 54 56 72 74 90 92 144 146	312130052226
STPT(10)	1245501245812675739	0 2 18 20 30 32 42 44 60 62	517101207078
SPT(16)	1245501699483899491	0 30 40 82 112 118 142 148 222 228 252 258 288 330 340 370	970772430830
STPT(10)	1245501796337122967	0 2 30 32 42 44 54 56 84 86	1067625654306
TPT(14)	1245501933949747337	0 2 12 14 120 122 264 266 294 296 342 344 360 362	1205238278676