Prime p₀= 798084699307045217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	798082949509362983	0 20 36 44 68 86 98 104 120 126 138 156 180 188 204 224	-1749797682234
STPT(10)	798083685755573057	0 2 42 44 162 164 282 284 324 326	-1013551472160
TPT(14)	798083800073170361	0 2 18 20 126 128 156 158 216 218 240 242 258 260	-899233874856
SPT(16)	798083913078586153	0 28 34 94 120 130 144 204 244 304 318 328 354 414 420 448	-786228459064
STPT(10)	798084062567135159	0 2 12 14 30 32 48 50 60 62	-636739910058
SPT(16)	798084591256262491	0 10 18 42 46 60 112 156 172 216 268 282 286 310 318 328	-108050782726
SPT(16)	798085300876402951	0 18 40 48 88 90 100 132 166 198 208 210 250 258 280 298	601569357734
STPT(12)	798085388023036499	0 2 12 14 42 44 138 140 168 170 180 182	688715991282
SPT(16)	798085422772229167	0 16 36 42 46 60 72 142 240 310 322 336 340 346 366 382	723465183950
SPT(16)	798085473082528027	0 22 34 46 52 90 96 124 132 160 166 204 210 222 234 256	773775482810
SPT(16)	798085571798150617	0 16 36 64 94 100 106 156 280 330 336 342 372 400 420 436	872491105400