Prime p₀= 1014146632875165113 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 4 12 20 34 14 10 26 10 14 34 20 12 4 20 (?)
a_n: 0 20 24 36 56 90 104 114 140 150 164 198 218 230 234 254
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: 254
Found by: stoneageman
db: batch=76, k=16, 20 4 12 20 34 14 10 26

SPT(16)	1014145546641290093	0 44 56 114 116 150 164 174 200 210 224 258 260 318 330 374	-1086233875020
SPT(16)	1014145688802210721	0 16 22 60 126 162 168 186 232 250 256 292 358 396 402 418	-944072954392
SPT(16)	1014145703182335473	0 8 26 38 66 68 78 96 140 158 168 170 198 210 228 236	-929692829640
SPT(16)	1014146045469557863	0 16 18 48 64 66 70 120 184 234 238 240 256 286 288 304	-587405607250
TPT(14)	1014146076151213259	0 2 18 20 42 44 48 50 132 134 198 200 210 212	-556723951854
SPT(16)	1014146136298904923	0 28 46 108 118 130 150 196 198 244 264 276 286 348 366 394	-496576260190
STPT(10)	1014146822976204527	0 2 30 32 42 44 54 56 84 86	190101039414
STPT(10)	1014147049803469247	0 2 12 14 42 44 72 74 84 86	416928304134
SPT(16)	1014147184723156633	0 18 28 70 120 184 190 204 220 234 240 304 354 396 406 424	551847991520
SPT(16)	1014147243671259199	0 28 52 54 90 108 118 130 132 144 154 172 208 210 234 262	610796094086
TPT(14)	1014147778740185897	0 2 84 86 90 92 120 122 150 152 222 224 234 236	1145865020784