Prime p₀= 1597320929578454429 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 4 18 8 12 30 40 2 40 30 12 8 18 4 68 (?)
a_n: 0 68 72 90 98 110 140 180 182 222 252 264 272 290 294 362
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: 362
Found by: biodoc
db: batch=78, k=16, 68 4 18 8 12 30 40 2

SPT(16)	1597319514273211691	0 120 152 158 180 188 210 218 222 230 252 260 282 288 320 440	-1415305242738
TPT(14)	1597319523348364601	0 2 36 38 78 80 90 92 126 128 216 218 300 302	-1406230089828
SPT(16)	1597319773846140367	0 6 22 30 34 64 72 100 126 154 162 192 196 204 220 226	-1155732314062
SPT(16)	1597320049860182537	0 30 36 92 114 240 260 296 360 396 416 542 564 620 626 656	-879718271892
STPT(10)	1597320318772306109	0 2 42 44 60 62 78 80 120 122	-610806148320
SPT(16)	1597320670790457331	0 6 12 36 46 70 108 132 166 190 228 252 262 286 292 298	-258787997098
STPT(10)	1597320961158457361	0 2 30 32 78 80 126 128 156 158	31580002932
SPT(16)	1597321038238905043	0 4 28 54 78 100 124 138 256 270 294 316 340 366 390 394	108660450614
SPT(16)	1597321056993408151	0 12 40 42 48 72 126 130 138 142 196 220 226 228 256 268	127414953722
STPT(10)	1597321177118974091	0 2 36 38 78 80 120 122 156 158	247540519662
STPT(10)	1597321518366463529	0 2 12 14 90 92 168 170 180 182	588788009100