Prime p₀= 2777819516498103263 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 16 24 36 8 36 4 158 4 36 8 36 24 16 14 (?)
a_n: 0 14 30 54 90 98 134 138 296 300 336 344 380 404 420 434
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 434
Found by: Orange Kid
db: batch=82, k=16, 14 16 24 36 8 36 4 158

SPT(16)	2777817698518575359	0 20 30 92 98 128 140 174 218 252 264 294 300 362 372 392	-1817979527904
SPT(18)	2777817755100560723	0 6 20 26 36 48 50 74 134 150 210 234 236 248 258 264 278 284	-1761397542540
TPT(14)	2777817880496974739	0 2 30 32 72 74 138 140 180 182 240 242 270 272	-1636001128524
STPT(10)	2777818169474305157	0 2 30 32 72 74 114 116 144 146	-1347023798106
STPT(10)	2777818701132849971	0 2 36 38 78 80 120 122 156 158	-815365253292
SPT(16)	2777818973822919029	0 12 42 104 108 122 132 138 164 170 180 194 198 260 290 302	-542675184234
SPT(16)	2777819553653116249	0 4 12 18 34 54 78 138 154 214 238 258 274 280 288 292	37155012986
SPT(16)	2777819687565133361	0 56 68 78 86 90 138 218 300 380 428 432 440 450 462 518	171067030098
STPT(10)	2777820288675616937	0 2 30 32 42 44 54 56 84 86	772177513674
SPT(16)	2777820337853695499	0 54 72 84 92 110 150 162 200 212 252 270 278 290 308 362	821355592236
TPT(14)	2777820814572922289	0 2 12 14 42 44 78 80 162 164 252 254 348 350	1298074819026