Prime p₀= 2309077556607134021 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

TPT(14)	2309075632516929851	0 2 66 68 78 80 120 122 150 152 156 158 168 170	-1924090204170
SPT(16)	2309075742155798839	0 4 42 48 84 100 132 202 210 280 312 328 364 370 408 412	-1814451335182
SPT(16)	2309076134902513649	0 2 44 50 60 72 80 92 102 114 122 134 144 150 192 194	-1421704620372
SPT(16)	2309076316064058187	0 30 54 124 136 196 204 252 274 322 330 390 402 472 496 526	-1240543075834
STPT(10)	2309076542090095157	0 2 30 32 120 122 210 212 240 242	-1014517038864
SPT(16)	2309077032196995089	0 8 12 32 38 98 108 128 234 254 264 324 330 350 354 362	-524410138932
SPT(16)	2309077689338848201	0 12 28 60 76 102 138 142 186 190 226 252 268 300 316 328	132731714180
SPT(16)	2309077925764722157	0 42 84 106 184 196 216 262 264 310 330 342 420 442 484 526	369157588136
SPT(16)	2309078357860298719	0 10 34 70 84 90 132 142 162 172 214 220 234 270 294 304	801253164698
SPT(16)	2309078448512762879	0 8 14 24 38 110 120 164 198 242 252 324 338 348 354 362	891905628858
TPT(14)	2309078646335688917	0 2 30 32 54 56 84 86 222 224 252 254 264 266	1089728554896