Prime p₀= 779421744722579909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: [SG]FX
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	779420729279385191	0 42 50 108 110 162 176 182 186 192 206 258 260 318 326 368	-1015443194718
SPT(16)	779420863659461371	0 10 12 18 60 78 102 112 186 196 220 238 280 286 288 298	-881063118538
SPT(16)	779421066835442069	0 30 42 62 68 84 108 122 180 194 218 234 240 260 272 302	-677887137840
STPT(10)	779421581630723567	0 2 30 32 42 44 54 56 84 86	-163091856342
SPT(16)	779421649113692197	0 30 46 70 106 144 162 252 274 364 382 420 456 480 496 526	-95608887712
STPT(12)	779421655078022651	0 2 6 8 36 38 90 92 120 122 126 128	-89644557258
STPT(10)	779421799907245457	0 2 30 32 42 44 54 56 84 86	55184665548
SPT(18)	779422170346788443	0 14 30 56 104 116 150 170 210 254 294 314 348 360 408 434 450 464	425624208534
STPT(10)	779422171735494071	0 2 36 38 78 80 120 122 156 158	427012914162
STPT(10)	779422226727969701	0 2 30 32 60 62 90 92 120 122	482005389792
SPT(16)	779422288408392049	0 10 72 78 142 148 168 192 238 262 282 288 352 358 420 430	543685812140