Prime p₀= 1258077398365710577 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 42 50 4 80 4 42 14 42 4 80 4 50 42 4 (?)
a_n: 0 4 46 96 100 180 184 226 240 282 286 366 370 420 462 466
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: 466
Found by: HenkM
db: batch=77, k=16, 4 42 50 4 80 4 42 14

SPT(16)	1258076284695153181	0 10 30 46 88 96 112 118 150 156 172 180 222 238 258 268	-1113670557396
SPT(16)	1258076374797617237	0 2 30 80 92 114 120 126 200 206 212 234 246 296 324 326	-1023568093340
STPT(10)	1258076684852189099	0 2 30 32 120 122 210 212 240 242	-713513521478
SPT(16)	1258077066201878947	0 12 22 24 100 112 114 156 160 202 204 216 292 294 304 316	-332163831630
SPT(16)	1258077066562839403	0 34 60 66 70 84 90 114 130 154 160 174 178 184 210 244	-331802871174
STPT(10)	1258077068829751361	0 2 36 38 78 80 120 122 156 158	-329535959216
STPT(10)	1258077410042437277	0 2 42 44 72 74 102 104 144 146	11676726700
TPT(14)	1258077497726445971	0 2 108 110 150 152 156 158 180 182 198 200 210 212	99360735394
SPT(16)	1258077577018650911	0 26 32 56 66 90 102 110 222 230 242 266 276 300 306 332	178652940334
SPT(18)	1258078338726832157	0 2 20 30 36 62 66 72 80 132 140 146 150 176 182 192 210 212	940361121580
SPT(16)	1258078378875173189	0 14 24 42 50 60 80 102 122 144 164 174 182 200 210 224	980509462612