Prime p₀= 2623219032687100123 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 60 4 26 30 10 14 76 14 10 30 26 4 60 6 (?)
a_n: 0 6 66 70 96 126 136 150 226 240 250 280 306 310 370 376
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: 376
Found by: [SG-FC] hl
db: batch=82, k=16, 6 60 4 26 30 10 14 76

SPT(16)	2623217136626681603	0 30 54 66 114 134 140 156 248 264 270 290 338 350 374 404	-1896060418520
SPT(16)	2623217166185506129	0 12 30 40 52 82 100 114 148 162 180 210 222 232 250 262	-1866501593994
STPT(10)	2623217533291490951	0 2 6 8 48 50 90 92 96 98	-1499395609172
TPT(14)	2623217966316131477	0 2 12 14 42 44 54 56 72 74 192 194 234 236	-1066370968646
SPT(16)	2623218353699932501	0 18 58 78 88 106 148 172 216 240 282 300 310 330 370 388	-678987167622
STPT(10)	2623218484696471157	0 2 12 14 42 44 72 74 84 86	-547990628966
STPT(10)	2623219105307901437	0 2 30 32 42 44 54 56 84 86	72620801314
SPT(16)	2623219153763709187	0 24 52 66 96 124 126 162 214 250 252 280 310 324 352 376	121076609064
SPT(18)	2623219240357657171	0 6 10 16 40 60 96 126 130 138 142 172 208 228 252 258 262 268	207670557048
SPT(16)	2623219382088376871	0 60 108 116 122 126 132 150 158 176 182 186 192 200 248 308	349401276748
STPT(12)	2623219732919065529	0 2 12 14 30 32 42 44 60 62 72 74	700231965406