Prime p₀= 1257857712658634779 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 20 42 12 10 30 18 20 18 30 10 12 42 20 28 (?)
a_n: 0 28 48 90 102 112 142 160 180 198 228 238 250 292 312 340
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: 340
Found by: Theadalus
db: batch=77, k=16, 28 20 42 12 10 30 18 20

SPT(16)	1257856058946837793	0 78 84 114 154 156 198 210 214 226 268 270 310 340 346 424	-1653711796986
SPT(16)	1257856381963421677	0 10 24 30 34 52 76 82 84 90 114 132 136 142 156 166	-1330695213102
SPT(13)	1257856483310439601	0 12 18 30 78 102 120 138 162 210 222 228 240	-1229348195178
STPT(10)	1257856910824244777	0 2 12 14 72 74 132 134 144 146	-801834390002
TPT(16)	1257857237604708329	0 2 162 164 210 212 222 224 240 242 252 254 402 404 408 410	-475053926450
SPT(18)	1257857457043886653	0 48 66 76 166 174 184 196 268 276 348 360 370 378 468 478 496 544	-255614748126
STPT(10)	1257857764035010727	0 2 30 32 42 44 54 56 84 86	51376375948
STPT(10)	1257858344747407367	0 2 30 32 42 44 54 56 84 86	632088772588
SPT(16)	1257858350407857427	0 34 54 60 76 106 120 144 196 220 234 264 280 286 306 340	637749222648
TPT(14)	1257858593610472409	0 2 48 50 90 92 150 152 162 164 342 344 348 350	880951837630
TPT(14)	1257859458796977719	0 2 72 74 90 92 138 140 180 182 198 200 270 272	1746138342940