Prime p₀= 953077143837437831 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 78 24 6 24 36 42 42 36 24 6 24 78 (?)
a_n: 0 78 102 108 132 168 210 252 288 312 318 342 420
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: stoneageman
db: batch=76, k=13, 78 24 6 24 36 42

SPT(13)	953076237181334867	0 6 24 60 66 126 150 174 234 240 276 294 300	-906656102964
SPT(16)	953076414393877909	0 28 70 88 108 114 130 174 238 282 298 304 324 342 384 412	-729443559922
SPT(16)	953076567030360293	0 6 30 56 68 114 120 170 174 224 230 276 288 314 338 344	-576807077538
SPT(16)	953076757048995289	0 12 54 78 112 142 162 168 184 190 210 240 274 298 340 352	-386788442542
SPT(16)	953077054396703287	0 10 36 42 112 132 160 172 174 186 214 234 304 310 336 346	-89440734544
STPT(10)	953077140549538757	0 2 30 32 42 44 54 56 84 86	-3287899074
SPT(16)	953077348236352333	0 18 24 40 70 78 126 150 184 208 256 264 294 310 316 334	204398914502
STPT(10)	953077532671436267	0 2 30 32 42 44 54 56 84 86	388833998436
STPT(10)	953077666053172337	0 2 12 14 42 44 72 74 84 86	522215734506
STPT(10)	953077913397936437	0 2 42 44 72 74 102 104 144 146	769560498606
SPT(16)	953077930847803963	0 4 28 30 34 96 184 186 208 210 298 360 364 366 390 394	787010366132