Prime p₀= 2115008953205825819 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2115008233904937359	0 2 20 42 50 72 134 224 240 330 392 414 422 444 462 464	-719300888460
STPT(10)	2115008410383203897	0 2 42 44 72 74 102 104 144 146	-542822621922
SPT(16)	2115008600113895989	0 18 34 54 70 94 142 154 198 210 258 282 298 318 334 352	-353091929830
STPT(10)	2115008703696433841	0 2 6 8 18 20 30 32 36 38	-249509391978
STPT(10)	2115008716006680551	0 2 36 38 78 80 120 122 156 158	-237199145268
STPT(10)	2115008838654371741	0 2 6 8 48 50 90 92 96 98	-114551454078
STPT(10)	2115009010429581359	0 2 30 32 60 62 90 92 120 122	57223755540
SPT(16)	2115009147666734309	0 8 14 50 72 84 102 110 162 170 188 200 222 258 264 272	194460908490
SPT(16)	2115009644297129717	0 12 26 56 86 92 120 126 146 152 180 186 216 246 260 272	691091303898
SPT(16)	2115011525343084961	0 10 42 60 66 102 106 112 126 132 136 172 178 196 228 238	2572137259142
STPT(10)	2115011777185029221	0 2 36 38 78 80 120 122 156 158	2823979203402