Prime p₀= 2567333035527817547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: SEARCHER
db: batch=82, k=10, 2 40 2 28 2

STPT(10)	2567331626004866561	0 2 36 38 78 80 120 122 156 158	-1409522950986
SPT(16)	2567331955232731103	0 18 54 84 86 128 138 140 174 176 186 228 230 260 296 314	-1080295086444
STPT(10)	2567331977902199507	0 2 24 26 42 44 60 62 84 86	-1057625618040
SPT(16)	2567331986377461631	0 16 52 70 96 118 130 132 136 138 150 172 198 216 252 268	-1049150355916
SPT(16)	2567332343267609761	0 30 48 60 78 100 142 156 172 186 228 250 268 280 298 328	-692260207786
SPT(16)	2567332929933771763	0 18 60 64 154 190 208 228 400 420 438 474 564 568 610 628	-105594045784
SPT(16)	2567333423158872223	0 30 36 64 70 78 136 154 240 258 316 324 330 358 364 394	387631054676
SPT(16)	2567333537423768177	0 26 50 60 72 84 96 114 122 140 152 164 176 186 210 236	501895950630
SPT(18)	2567333677728052001	0 6 20 32 42 60 66 146 150 182 186 266 272 290 300 312 326 332	642200234454
SPT(16)	2567333721021351757	0 24 34 66 76 82 124 156 220 252 294 300 310 342 352 376	685493534210
SPT(16)	2567333862805792711	0 30 66 82 138 142 148 208 210 270 276 280 336 352 388 418	827277975164