Prime p₀= 2114998026862833947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 58 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 162 164 204 206
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: 206
Found by: Landjunge
db: batch=80, k=10, 2 40 2 58 2

SPT(16)	2114997644000265419	0 2 24 44 72 80 108 128 174 194 222 230 258 278 300 302	-382862568528
TPT(14)	2114997644818461911	0 2 6 8 126 128 138 140 156 158 180 182 210 212	-382044372036
SPT(16)	2114997734612738959	0 42 78 88 130 142 184 198 244 258 300 312 354 364 400 442	-292250094988
TPT(14)	2114997816576441959	0 2 108 110 180 182 198 200 222 224 240 242 288 290	-210286391988
SPT(16)	2114997847809675649	0 10 22 42 60 84 132 144 160 172 220 244 262 282 294 304	-179053158298
SPT(16)	2114997864680691629	0 18 38 62 72 90 122 132 140 150 182 200 210 234 254 272	-162182142318
SPT(16)	2114998310645259497	0 12 20 30 54 56 72 86 90 104 120 122 146 156 164 176	283782425550
TPT(14)	2114998320529362239	0 2 12 14 72 74 102 104 108 110 210 212 318 320	293666528292
STPT(10)	2114998525252592027	0 2 42 44 72 74 102 104 144 146	498389758080
STPT(10)	2114998688465534537	0 2 12 14 42 44 72 74 84 86	661602700590
STPT(10)	2114998697501758049	0 2 18 20 60 62 102 104 120 122	670638924102