Prime p₀= 2377869884464230851 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)	2377867378751886247	0 22 36 84 94 132 160 172 234 246 274 312 322 370 384 406	-2505712344604
SPT(16)	2377868168327692669	0 10 54 90 100 114 142 154 180 192 220 234 244 280 324 334	-1716136538182
STPT(10)	2377868398141911089	0 2 18 20 30 32 42 44 60 62	-1486322319762
TPT(14)	2377869044762676581	0 2 96 98 138 140 186 188 270 272 306 308 348 350	-839701554270
SPT(16)	2377869096189329999	0 14 78 98 120 152 168 200 222 254 270 302 324 344 408 422	-788274900852
SPT(16)	2377869210807853223	0 14 68 74 108 110 116 126 308 318 324 326 360 366 420 434	-673656377628
SPT(16)	2377870405328288603	0 6 14 54 74 80 108 110 174 176 204 210 230 270 278 284	520864057752
STPT(10)	2377870614787313489	0 2 18 20 30 32 42 44 60 62	730323082638
STPT(10)	2377870691410667597	0 2 42 44 72 74 102 104 144 146	806946436746
SPT(16)	2377871233740982747	0 54 60 130 166 196 210 214 252 256 270 300 336 406 412 466	1349276751896
SPT(16)	2377871284759235663	0 24 38 68 116 144 164 206 258 300 320 348 396 426 440 464	1400295004812