Prime p₀= 2342586083207730431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2342584753105212211	0 12 22 82 96 100 102 120 148 166 168 172 186 246 256 268	-1330102518220
STPT(10)	2342585013719849537	0 2 60 62 72 74 84 86 144 146	-1069487880894
STPT(12)	2342585200787711027	0 2 12 14 24 26 30 32 42 44 54 56	-882420019404
STPT(10)	2342585532366630767	0 2 60 62 72 74 84 86 144 146	-550841099664
STPT(10)	2342585770440726857	0 2 12 14 72 74 132 134 144 146	-312767003574
SPT(16)	2342585986227780119	0 60 74 120 158 162 194 198 224 228 260 264 302 348 362 422	-96979950312
TPT(14)	2342586278559145499	0 2 12 14 102 104 168 170 240 242 312 314 348 350	195351415068
STPT(10)	2342586408579927491	0 2 36 38 78 80 120 122 156 158	325372197060
SPT(16)	2342586488588553293	0 20 38 60 66 80 84 104 210 230 234 248 254 276 294 314	405380822862
STPT(10)	2342586631172611667	0 2 30 32 42 44 54 56 84 86	547964881236
SPT(16)	2342586655812558553	0 28 90 94 144 160 178 210 268 300 318 334 384 388 450 478	572604828122