Prime p₀= 943496456000651633 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 20 34 14 10 2 24 6 10 14 76 14 10 6 24 2 10 14 34 20 (?)
a_n: 0 20 54 68 78 80 104 110 120 134 210 224 234 240 264 266 276 290 324 344
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 344
Found by: stoneageman
db: batch=76, k=20, 20 34 14 10 2 24 6 10 14 76

SPT(16)	943495153391738887	0 16 24 60 112 150 154 172 174 192 196 234 286 322 330 346	-1302608912746
STPT(10)	943495692262061969	0 2 30 32 60 62 90 92 120 122	-763738589664
SPT(16)	943495816514304043	0 40 58 60 78 126 196 204 250 258 328 376 394 396 414 454	-639486347590
SPT(16)	943496075624999621	0 60 102 110 126 132 152 156 212 216 236 242 258 266 308 368	-380375652012
STPT(12)	943496141355076367	0 2 42 44 60 62 84 86 102 104 144 146	-314645575266
SPT(16)	943496144815182901	0 12 70 90 112 120 172 196 222 246 298 306 328 348 406 418	-311185468732
STPT(10)	943496475014496839	0 2 42 44 60 62 78 80 120 122	19013845206
STPT(10)	943497012607689521	0 2 36 38 78 80 120 122 156 158	556607037888
SPT(16)	943497099691353037	0 4 22 34 42 94 160 162 202 204 270 322 330 342 360 364	643690701404
SPT(16)	943497252119036089	0 100 160 168 202 208 228 270 280 322 342 348 382 390 450 550	796118384456
SPT(16)	943497291521611081	0 10 22 48 58 66 112 126 142 156 202 210 220 246 258 268	835520959448