Prime p₀= 2391640837271186321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Conan
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2391639891125753627	0 20 42 62 90 126 132 146 150 164 170 206 234 254 276 296	-946145432694
SPT(16)	2391640196494754567	0 26 36 60 92 104 146 150 176 180 222 234 266 290 300 326	-640776431754
TPT(14)	2391640258695926699	0 2 42 44 60 62 168 170 180 182 192 194 222 224	-578575259622
STPT(10)	2391640326348144257	0 2 12 14 42 44 72 74 84 86	-510923042064
SPT(16)	2391640663345243237	0 4 6 30 82 96 114 124 132 142 160 174 226 250 252 256	-173925943084
SPT(16)	2391640740681234157	0 34 64 70 76 82 126 142 174 190 234 240 246 252 282 316	-96589952164
SPT(16)	2391640948809996731	0 12 30 60 78 92 110 150 170 210 228 242 260 290 308 320	111538810410
SPT(16)	2391641194622864213	0 18 24 30 96 156 186 198 236 248 278 338 404 410 416 434	357351677892
STPT(10)	2391641372773619579	0 2 18 20 30 32 42 44 60 62	535502433258
SPT(16)	2391641395590875443	0 10 36 70 100 124 130 148 186 204 210 234 264 298 324 334	558319689122
STPT(10)	2391641781831173759	0 2 18 20 30 32 42 44 60 62	944559987438