Prime p₀= 779089297826429617 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 102 18 36 6 24 24 6 36 18 102 24 (?)
a_n: 0 24 126 144 180 186 210 234 240 276 294 396 420
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 420
Found by: Ralfy
db: batch=73, k=13, 24 102 18 36 6 24

SPT(16)	779087321368686217	0 10 12 46 84 112 186 214 222 250 324 352 390 424 426 436	-1976457743400
SPT(16)	779087391565856881	0 16 48 70 100 180 208 210 256 258 286 366 396 418 450 466	-1906260572736
SPT(16)	779088054621229553	0 6 14 30 36 50 56 104 156 204 210 224 230 246 254 260	-1243205200064
TPT(14)	779088181044599351	0 2 6 8 48 50 78 80 126 128 198 200 210 212	-1116781830266
SPT(16)	779088423822995659	0 10 70 112 120 148 154 184 198 228 234 262 270 312 372 382	-874003433958
TPT(14)	779088680108917259	0 2 42 44 48 50 102 104 168 170 180 182 228 230	-617717512358
SPT(16)	779089308767662559	0 14 62 78 80 84 122 134 198 210 248 252 254 270 318 332	10941232942
SPT(16)	779089519880125217	0 2 24 54 60 80 110 114 152 156 186 206 212 242 264 266	222053695600
SPT(16)	779089573715647619	0 20 50 60 78 90 98 104 138 144 152 164 182 192 222 242	275889218002
SPT(16)	779090044140089477	0 14 32 56 60 90 92 122 144 174 176 206 210 234 252 266	746313659860
SPT(16)	779090135174414471	0 6 38 90 102 108 126 140 168 182 200 206 218 270 302 308	837347984854