Prime p₀= 729351208603581593 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 12 6 4 8 10 8 22 8 10 8 4 6 12 38 (?)
a_n: 0 38 50 56 60 68 78 86 108 116 126 134 138 144 156 194
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: 194
Found by: MarkRBright
db: batch=73, k=16, 38 12 6 4 8 10 8 22

SPT(16)	729349429464215083	0 6 94 130 166 174 216 250 264 298 340 348 384 420 508 514	-1779139366510
STPT(10)	729349604133022421	0 2 6 8 48 50 90 92 96 98	-1604470559172
STPT(10)	729349777296548459	0 2 18 20 60 62 102 104 120 122	-1431307033134
SPT(16)	729349847764931047	0 6 40 42 54 130 132 180 196 244 246 322 334 336 370 376	-1360838650546
STPT(10)	729350133554102237	0 2 60 62 72 74 84 86 144 146	-1075049479356
SPT(16)	729350492199137399	0 30 42 50 78 108 122 170 330 378 392 422 450 458 470 500	-716404444194
STPT(10)	729351297989770271	0 2 6 8 48 50 90 92 96 98	89386188678
TPT(14)	729351862151790191	0 2 150 152 186 188 198 200 270 272 276 278 306 308	653548208598
SPT(16)	729352630770228613	0 16 54 64 126 144 150 196 264 310 316 334 396 406 444 460	1422166647020
SPT(16)	729352679649865189	0 34 70 72 84 94 102 114 190 202 210 220 232 234 270 304	1471046283596
TPT(14)	729352991219080559	0 2 48 50 78 80 90 92 198 200 240 242 282 284	1782615498966