Prime p₀= 1597512630540376103 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 72 26 4 20 108 4 14 4 108 20 4 26 72 36 (?)
a_n: 0 36 108 134 138 158 266 270 284 288 396 416 420 446 518 554
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: 554
Found by: biodoc
db: batch=78, k=16, 36 72 26 4 20 108 4 14

SPT(16)	1597512022535192461	0 22 70 76 78 88 90 126 172 208 210 220 222 228 276 298	-608005183642
TPT(14)	1597512130543372721	0 2 138 140 150 152 168 170 186 188 210 212 348 350	-499997003382
STPT(10)	1597512145523086757	0 2 30 32 42 44 54 56 84 86	-485017289346
SPT(16)	1597512321147686737	0 6 30 40 52 72 82 154 162 234 244 264 276 286 310 316	-309392689366
SPT(16)	1597512504076474721	0 2 26 32 36 42 66 72 80 86 110 116 120 126 150 152	-126463901382
SPT(16)	1597512603388176373	0 30 48 90 94 118 136 150 184 198 216 240 244 286 304 334	-27152199730
STPT(10)	1597512907145455847	0 2 30 32 42 44 54 56 84 86	276605079744
SPT(16)	1597513073674020199	0 4 102 114 120 144 162 190 204 232 250 274 280 292 390 394	443133644096
STPT(10)	1597513289481384017	0 2 30 32 120 122 210 212 240 242	658941007914
TPT(14)	1597513323783896549	0 2 18 20 30 32 60 62 90 92 132 134 162 164	693243520446
SPT(16)	1597513331336172517	0 42 46 94 114 120 150 166 210 226 256 262 282 330 334 376	700795796414