Prime p₀= 789416594108249449 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 30 4 18 8 34 36 54 8 28 38 46 38 28 8 54 36 34 8 18 4 30 (?)
a_n: 0 30 34 52 60 94 130 184 192 220 258 304 342 370 378 432 468 502 510 528 532 562
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: 562
Found by: [SG]FX
db: batch=73, k=22, 30 4 18 8 34 36 54 8 28 38 46

STPT(10)	789416301033346121	0 2 36 38 78 80 120 122 156 158	-293074903328
STPT(10)	789416302523805497	0 2 90 92 102 104 114 116 204 206	-291584443952
TPT(14)	789416328584985599	0 2 78 80 168 170 180 182 240 242 252 254 288 290	-265523263850
SPT(16)	789416347255977593	0 6 8 14 38 50 120 140 144 164 234 246 270 276 278 284	-246852271856
SPT(16)	789416366427108241	0 12 42 72 78 142 160 202 246 288 306 370 376 406 436 448	-227681141208
SPT(16)	789416384508641299	0 22 28 90 148 154 180 190 222 232 258 264 322 384 390 412	-209599608150
SPT(16)	789416644538313647	0 14 30 44 86 114 120 140 150 170 176 204 246 260 276 290	50430064198
SPT(16)	789416705001598459	0 10 58 78 90 112 178 210 220 252 318 340 352 372 420 430	110893349010
SPT(16)	789417269606227243	0 4 10 60 64 90 94 106 174 186 190 216 220 270 276 280	675497977794
SPT(16)	789417760633994497	0 4 10 42 46 76 102 120 136 154 180 210 214 246 252 256	1166525745048
SPT(16)	789417854012578303	0 34 36 76 90 106 126 154 156 184 204 220 234 274 276 310	1259904328854