Prime p₀= 2502038513477101153 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 24 48 8 30 4 68 82 68 4 30 8 48 24 34 (?)
a_n: 0 34 58 106 114 144 148 216 298 366 370 400 408 456 480 514
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: 514
Found by: JayPi
db: batch=82, k=16, 34 24 48 8 30 4 68 82

SPT(16)	2502036791805625493	0 14 18 38 56 84 86 96 158 168 170 198 216 236 240 254	-1721671475660
SPT(16)	2502037431231727429	0 34 42 60 88 102 118 132 160 174 190 204 232 250 258 292	-1082245373724
SPT(16)	2502037608074405083	0 18 64 148 154 168 196 238 246 288 316 330 336 420 466 484	-905402696070
SPT(16)	2502037620928697821	0 28 48 78 82 100 106 112 126 132 138 156 160 190 210 238	-892548403332
SPT(16)	2502038050846162513	0 48 88 126 136 178 196 216 220 240 258 300 310 348 388 436	-462630938640
STPT(10)	2502038349589142711	0 2 6 8 48 50 90 92 96 98	-163887958442
SPT(16)	2502039150049727077	0 10 12 34 60 72 76 96 130 150 154 166 192 214 216 226	636572625924
STPT(10)	2502039200701007447	0 2 30 32 42 44 54 56 84 86	687223906294
SPT(16)	2502039287624749813	0 40 48 76 78 96 114 124 150 160 178 196 198 226 234 274	774147648660
SPT(16)	2502039331437744487	0 22 54 60 70 126 162 186 190 214 250 306 316 322 354 376	817960643334
SPT(16)	2502039424271778773	0 20 26 96 120 140 156 174 176 194 210 230 254 324 330 350	910794677620