Prime p₀= 2042032857131380853 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 42 30 42 6 12 8 22 8 12 6 42 30 42 6 (?)
a_n: 0 6 48 78 120 126 138 146 168 176 188 194 236 266 308 314
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: 314
Found by: Orange Kid
db: batch=80, k=16, 6 42 30 42 6 12 8 22

SPT(16)	2042030902451892589	0 40 48 84 100 118 142 172 180 210 234 252 268 304 312 352	-1954679488264
TPT(14)	2042030907237062867	0 2 12 14 24 26 102 104 114 116 210 212 222 224	-1949894317986
STPT(10)	2042031482914574819	0 2 48 50 90 92 132 134 180 182	-1374216806034
SPT(16)	2042031554502701393	0 14 30 48 66 108 140 158 216 234 266 308 326 344 360 374	-1302628679460
SPT(18)	2042032240355235113	0 6 24 56 66 68 86 90 116 138 164 168 186 188 198 230 248 254	-616776145740
SPT(16)	2042032325817097487	0 14 24 26 80 86 90 104 132 146 150 156 210 212 222 236	-531314283366
TPT(14)	2042033044654517177	0 2 42 44 84 86 90 92 132 134 174 176 180 182	187523136324
STPT(12)	2042033044654517177	0 2 42 44 84 86 90 92 132 134 174 176	187523136324
STPT(10)	2042033044654517261	0 2 6 8 48 50 90 92 96 98	187523136408
STPT(10)	2042033082844690511	0 2 36 38 78 80 120 122 156 158	225713309658
SPT(16)	2042033265174721051	0 28 70 72 78 90 100 112 276 288 298 310 316 318 360 388	408043340198