Prime p₀= 726782253380244689 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 2 4 66 20 24 24 52 24 24 20 66 4 2 18 (?)
a_n: 0 18 20 24 90 110 134 158 210 234 258 278 344 348 350 368
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: 368
Found by: crashtech
db: batch=73, k=16, 18 2 4 66 20 24 24 52

SPT(16)	726780694002038779	0 42 78 108 112 132 148 160 180 192 208 228 232 262 298 340	-1559378205910
STPT(12)	726780865328020169	0 2 42 44 78 80 162 164 198 200 240 242	-1388052224520
TPT(14)	726781334148779681	0 2 30 32 156 158 198 200 228 230 246 248 300 302	-919231465008
SPT(16)	726781736115150577	0 54 82 96 114 144 156 186 190 220 232 262 280 294 322 376	-517265094112
STPT(10)	726781834937904869	0 2 12 14 30 32 48 50 60 62	-418442339820
SPT(16)	726782211034968259	0 52 84 112 120 184 190 220 264 294 300 364 372 400 432 484	-42345276430
SPT(16)	726783324402665351	0 8 20 48 68 86 96 156 272 332 342 360 380 408 420 428	1071022420662
SPT(16)	726783544623203159	0 8 14 60 78 98 102 138 164 200 204 224 242 288 294 302	1291242958470
SPT(16)	726783756440688851	0 42 60 90 146 158 192 218 240 266 300 312 368 398 416 458	1503060444162
STPT(10)	726784039165267817	0 2 30 32 42 44 54 56 84 86	1785785023128
SPT(16)	726784116551411827	0 6 10 12 54 72 96 102 124 130 154 172 214 216 220 226	1863171167138