Prime p₀= 3377956607713116391 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 40 36 26 58 12 8 36 6 4 26 4 26 4 6 36 8 12 58 26 36 40 (?)
a_n: 0 40 76 102 160 172 180 216 222 226 252 256 282 286 292 328 336 348 406 432 468 508
All 22 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 508
Found by: Josemi
db: batch=83, k=22, 40 36 26 58 12 8 36 6 4 26 4

SPT(16)	3377955392007786599	0 8 18 32 60 78 98 114 128 144 164 182 210 224 234 242	-1215705329792
STPT(12)	3377955563991748541	0 2 90 92 126 128 180 182 216 218 306 308	-1043721367850
SPT(16)	3377956005798766187	0 6 32 56 132 152 182 186 230 234 264 284 360 384 410 416	-601914350204
STPT(10)	3377956121270212367	0 2 30 32 42 44 54 56 84 86	-486442904024
SPT(16)	3377956242682983919	0 24 58 70 88 90 114 118 150 154 178 180 198 210 244 268	-365030132472
SPT(16)	3377956329894173603	0 24 36 80 90 146 156 170 210 224 234 290 300 344 356 380	-277818942788
STPT(10)	3377956622713077677	0 2 24 26 42 44 60 62 84 86	14999961286
SPT(16)	3377956720371479093	0 18 38 78 84 96 128 198 206 276 308 320 326 366 386 404	112658362702
TPT(14)	3377957023814844197	0 2 24 26 60 62 84 86 114 116 234 236 270 272	416101727806
SPT(16)	3377957568885694703	0 24 38 56 74 84 98 194 270 366 380 390 408 426 440 464	961172578312
SPT(16)	3377958057602732917	0 40 76 102 130 150 186 190 192 196 232 252 280 306 342 382	1449889616526