Prime p₀= 1513092098388860579 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 38 12 6 40 8 6 64 6 8 40 6 12 38 24 (?)
a_n: 0 24 62 74 80 120 128 134 198 204 212 252 258 270 308 332
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: 332
Found by: crashtech
db: batch=78, k=16, 24 38 12 6 40 8 6 64

SPT(16)	1513090253227672927	0 10 42 52 64 96 124 136 150 162 190 222 234 244 276 286	-1845161187652
SPT(16)	1513090888150862957	0 110 140 146 170 192 230 282 374 426 464 486 510 516 546 656	-1210237997622
SPT(16)	1513090940264618707	0 66 72 94 100 136 156 174 262 280 300 336 342 364 370 436	-1158124241872
STPT(10)	1513091142004585457	0 2 12 14 42 44 72 74 84 86	-956384275122
SPT(16)	1513091444844459329	0 38 44 80 84 90 98 104 198 204 212 218 222 258 264 302	-653544401250
SPT(16)	1513091909740602623	0 18 38 60 68 80 120 138 146 164 204 216 224 246 266 284	-188648257956
SPT(16)	1513092234442142647	0 30 40 82 96 150 154 156 250 252 256 310 324 366 376 406	136053282068
SPT(16)	1513092617953511509	0 4 12 18 28 40 52 84 88 120 132 144 154 160 168 172	519564650930
SPT(16)	1513092655734846257	0 42 44 80 86 96 114 126 140 152 170 180 186 222 224 266	557345985678
SPT(16)	1513092702696273407	0 30 56 62 86 90 170 186 200 216 296 300 324 330 356 386	604307412828
STPT(10)	1513093177188701357	0 2 60 62 72 74 84 86 144 146	1078799840778