Prime p₀= 2592517791636805259 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 12 4 8 42 16 12 38 12 16 42 8 4 12 38 (?)
a_n: 0 38 50 54 62 104 120 132 170 182 198 240 248 252 264 302
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: 302
Found by: JayPi
db: batch=82, k=16, 38 12 4 8 42 16 12 38

SPT(16)	2592516422524750789	0 12 30 42 70 78 88 90 112 114 124 132 160 172 190 202	-1369112054470
SPT(16)	2592516736623477437	0 14 36 50 72 86 92 134 222 264 270 284 306 320 342 356	-1055013327822
SPT(16)	2592516875267716559	0 42 50 54 92 122 144 170 192 218 240 270 308 312 320 362	-916369088700
STPT(10)	2592517253143806689	0 2 42 44 120 122 198 200 240 242	-538492998570
SPT(16)	2592517459212169031	0 2 8 12 20 26 78 86 102 110 162 168 176 180 186 188	-332424636228
TPT(14)	2592517471753412387	0 2 132 134 324 326 384 386 510 512 522 524 552 554	-319883392872
SPT(13)	2592517845619951439	0 12 24 54 60 84 102 120 144 150 180 192 204	53983146180
SPT(16)	2592518150234148271	0 76 90 100 126 148 150 186 202 238 240 262 288 298 312 388	358597343012
STPT(10)	2592518766826767809	0 2 18 20 30 32 42 44 60 62	975189962550
STPT(10)	2592519009833624657	0 2 30 32 60 62 90 92 120 122	1218196819398
SPT(16)	2592519139246736681	0 60 72 108 122 146 158 212 246 300 312 336 350 386 398 458	1347609931422