Prime p₀= 2259054456668205401 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: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(18)	2259051760961888773	0 34 46 48 96 100 108 138 168 226 256 286 294 298 346 348 360 394	-2695706316628
SPT(16)	2259052033628836049	0 14 30 60 84 108 120 128 240 248 260 284 308 338 354 368	-2423039369352
SPT(16)	2259052642810449481	0 10 22 66 100 102 112 132 256 276 286 288 322 366 378 388	-1813857755920
STPT(10)	2259053076245036039	0 2 42 44 90 92 138 140 180 182	-1380423169362
SPT(16)	2259053226972411241	0 22 28 60 82 100 102 106 162 166 168 186 208 240 246 268	-1229695794160
SPT(16)	2259053938562832421	0 6 72 90 96 118 142 150 208 216 240 262 268 286 352 358	-518105372980
TPT(14)	2259054673352584379	0 2 18 20 30 32 42 44 138 140 252 254 270 272	216684378978
SPT(16)	2259055307353374377	0 30 42 50 122 144 156 200 246 290 302 324 396 404 416 446	850685168976
SPT(16)	2259055513046368567	0 16 42 126 144 150 166 216 220 270 286 292 310 394 420 436	1056378163166
SPT(16)	2259055545900439667	0 42 62 72 104 122 174 192 254 272 324 342 374 384 404 446	1089232234266
SPT(18)	2259056849475366979	0 22 64 82 108 124 150 168 178 234 244 262 288 304 330 348 390 412	2392807161578