Prime p₀= 1117599301132168739 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 56 18 30 4 8 30 22 30 8 4 30 18 56 24 (?)
a_n: 0 24 80 98 128 132 140 170 192 222 230 234 264 282 338 362
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: stoneageman
db: batch=76, k=16, 24 56 18 30 4 8 30 22

STPT(10)	1117598612098809887	0 2 54 56 72 74 90 92 144 146	-689033358852
SPT(16)	1117598614421327453	0 6 18 24 48 60 84 90 134 140 164 176 200 206 218 224	-686710841286
SPT(16)	1117598626509369799	0 12 72 78 100 114 144 202 210 268 298 312 334 340 400 412	-674622798940
STPT(10)	1117598736426957017	0 2 72 74 102 104 132 134 204 206	-564705211722
STPT(10)	1117598814117213929	0 2 42 44 90 92 138 140 180 182	-487014954810
SPT(16)	1117599162239792707	0 4 16 46 96 150 172 186 220 234 256 310 360 390 402 406	-138892376032
STPT(10)	1117599745369504091	0 2 30 32 78 80 126 128 156 158	444237335352
STPT(10)	1117599829125628631	0 2 126 128 168 170 210 212 336 338	527993459892
STPT(10)	1117599880940788547	0 2 30 32 42 44 54 56 84 86	579808619808
STPT(10)	1117599996822195251	0 2 30 32 78 80 126 128 156 158	695690026512
TPT(14)	1117600649020317101	0 2 48 50 96 98 120 122 180 182 210 212 246 248	1347888148362