Prime p₀= 2345653549708682009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2345650694657473717	0 12 42 70 126 150 204 250 306 352 406 430 486 514 544 556	-2855051208292
SPT(18)	2345650949950752809	0 24 32 54 60 134 158 164 170 192 198 204 228 302 308 330 338 362	-2599757929200
SPT(16)	2345651094397379809	0 34 54 78 138 144 148 154 264 270 274 280 340 364 384 418	-2455311302200
SPT(16)	2345651769447377543	0 6 8 50 78 120 126 140 216 230 236 278 306 348 350 356	-1780261304466
STPT(10)	2345653138391690087	0 2 42 44 102 104 162 164 204 206	-411316991922
STPT(10)	2345653399081333697	0 2 30 32 72 74 114 116 144 146	-150627348312
STPT(10)	2345653583181056381	0 2 36 38 78 80 120 122 156 158	33472374372
SPT(16)	2345653598396156371	0 16 60 66 72 78 82 100 108 126 130 136 142 148 192 208	48687474362
SPT(16)	2345653606710820447	0 30 132 160 174 184 196 216 220 240 252 262 276 304 406 436	57002138438
SPT(16)	2345653646450975873	0 8 20 38 56 90 96 104 180 188 194 228 246 264 276 284	96742293864
SPT(16)	2345654009572698413	0 26 44 56 80 114 164 180 194 210 260 294 318 330 348 374	459864016404