Prime p₀= 977395360435939579 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 4 24 2 10 44 4 32 78 10 86 10 78 32 4 44 10 2 24 4 (?)
a_n: 0 4 28 30 40 84 88 120 198 208 294 304 382 414 418 462 472 474 498 502
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: 502
Found by: stoneageman
db: batch=76, k=20, 4 24 2 10 44 4 32 78 10 86

SPT(16)	977393534635114577	0 2 24 60 92 116 120 144 182 206 210 234 266 302 324 326	-1825800825002
SPT(13)	977393715275061011	0 6 30 42 72 96 126 156 180 210 222 246 252	-1645160878568
SPT(16)	977393861153248207	0 16 40 64 70 82 154 174 322 342 414 426 432 456 480 496	-1499282691372
SPT(16)	977394095969630711	0 8 12 32 128 140 150 198 290 338 348 360 456 476 480 488	-1264466308868
SPT(16)	977394556766034761	0 2 26 50 72 78 158 162 176 180 260 266 288 312 336 338	-803669904818
STPT(10)	977395167847469207	0 2 42 44 72 74 102 104 144 146	-192588470372
SPT(16)	977395388529690847	0 16 52 82 84 90 100 156 220 276 286 292 294 324 360 376	28093751268
SPT(16)	977395401031933943	0 24 38 80 96 98 126 198 206 278 306 308 324 366 380 404	40595994364
SPT(16)	977395556253953671	0 18 30 48 58 60 66 72 106 112 118 120 130 148 160 178	195818014092
SPT(16)	977395975385969471	0 8 62 78 92 98 126 132 176 182 210 216 230 246 300 308	614950029892
SPT(16)	977396030828882923	0 10 30 48 60 90 100 154 174 228 238 268 280 298 318 328	670392943344