Prime p₀= 2354942252199736007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2354940540764075111	0 2 66 68 240 242 276 278 420 422 456 458 588 590	-1711435660896
STPT(10)	2354940719644195019	0 2 30 32 120 122 210 212 240 242	-1532555540988
SPT(16)	2354941118289450181	0 40 112 130 166 178 208 210 238 240 270 282 318 336 408 448	-1133910285826
SPT(16)	2354941225155816281	0 20 56 62 92 132 140 150 158 168 176 216 246 252 288 308	-1027043919726
SPT(16)	2354941960604478587	0 14 62 86 110 150 192 240 266 314 356 396 420 444 492 506	-291595257420
SPT(16)	2354942163843899629	0 30 42 58 60 94 138 154 168 184 228 262 264 280 292 322	-88355836378
SPT(16)	2354942351810084021	0 30 86 110 138 146 150 156 182 188 192 200 228 252 308 338	99610348014
STPT(10)	2354942384266508789	0 2 18 20 30 32 42 44 60 62	132066772782
STPT(10)	2354943038762901029	0 2 18 20 60 62 102 104 120 122	786563165022
SPT(16)	2354943110047949711	0 6 20 26 72 86 90 108 170 188 192 206 252 258 272 278	857848213704
SPT(16)	2354943406456833721	0 36 40 78 138 168 198 240 256 298 328 358 418 456 460 496	1154257097714