Prime p₀= 779704783749849803 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 54 32 22 156 42 20 10 2 10 20 42 156 22 32 54 (?)
a_n: 0 54 86 108 264 306 326 336 338 348 368 410 566 588 620 674
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: 674
Found by: schoussi
db: batch=73, k=16, 54 32 22 156 42 20 10 2

SPT(16)	779702822790089257	0 12 22 24 64 72 90 132 142 184 202 210 250 252 262 274	-1960959760546
STPT(10)	779703487868917289	0 2 18 20 30 32 42 44 60 62	-1295880932514
STPT(10)	779703886827291269	0 2 18 20 30 32 42 44 60 62	-896922558534
STPT(10)	779704109627671799	0 2 18 20 30 32 42 44 60 62	-674122178004
TPT(14)	779704129636860521	0 2 30 32 78 80 90 92 168 170 210 212 228 230	-654112989282
SPT(16)	779704656927666443	0 24 54 56 78 120 138 140 204 206 224 266 288 290 320 344	-126822183360
STPT(10)	779705450144804999	0 2 12 14 30 32 48 50 60 62	666394955196
SPT(16)	779705700884399953	0 6 100 108 118 124 160 186 208 234 270 276 286 294 388 394	917134550150
STPT(10)	779705889781644401	0 2 36 38 78 80 120 122 156 158	1106031794598
SPT(16)	779706045773421181	0 10 16 22 28 46 112 136 162 186 252 270 276 282 288 298	1262023571378
SPT(16)	779706342880665979	0 34 42 48 64 72 84 100 132 148 160 168 184 190 198 232	1559130816176