Prime p₀= 2794874065301487119 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: Roadranner
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2794872146974634297	0 6 50 72 90 102 120 140 162 182 200 212 230 252 296 302	-1918326852822
SPT(16)	2794872656272435517	0 44 56 80 86 104 114 146 150 182 192 210 216 240 252 296	-1409029051602
SPT(16)	2794872680358560663	0 44 50 86 108 120 164 168 206 210 254 266 288 324 330 374	-1384942926456
TPT(14)	2794872747580005017	0 2 90 92 102 104 144 146 162 164 204 206 210 212	-1317721482102
SPT(16)	2794873135568864359	0 58 78 100 114 120 130 148 234 252 262 268 282 304 324 382	-929732622760
SPT(16)	2794873840505517877	0 22 30 36 42 54 96 100 126 130 172 184 190 196 204 226	-224795969242
STPT(10)	2794874146539550919	0 2 18 20 30 32 42 44 60 62	81238063800
TPT(14)	2794874294083314731	0 2 30 32 120 122 138 140 168 170 210 212 276 278	228781827612
TPT(14)	2794874475879154607	0 2 12 14 42 44 54 56 162 164 222 224 264 266	410577667488
STPT(10)	2794874698112625767	0 2 60 62 72 74 84 86 144 146	632811138648
SPT(16)	2794874827667408839	0 34 42 70 82 150 162 202 240 280 292 360 372 400 408 442	762365921720