Prime p₀= 3741353307663539567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Sphynx
db: batch=84, k=10, 2 22 2 16 2

SPT(16)	3741352058579213207	0 6 26 44 62 72 86 114 122 150 164 174 192 210 230 236	-1249084326360
SPT(16)	3741352098762004523	0 14 20 30 38 54 68 84 170 186 200 216 224 234 240 254	-1208901535044
SPT(16)	3741352579335093253	0 6 18 48 94 136 138 178 216 256 258 300 346 376 388 394	-728328446314
SPT(16)	3741352931973353621	0 110 122 140 152 162 192 240 290 338 368 378 390 408 420 530	-375690185946
STPT(10)	3741353045055107159	0 2 18 20 30 32 42 44 60 62	-262608432408
SPT(16)	3741353260675004243	0 80 86 104 114 120 146 156 308 318 344 350 360 378 384 464	-46988535324
STPT(10)	3741354319121183507	0 2 30 32 42 44 54 56 84 86	1011457643940
SPT(16)	3741354341908034659	0 34 70 108 118 178 184 190 288 294 300 360 370 408 444 478	1034244495092
STPT(10)	3741354513995259947	0 2 30 32 60 62 90 92 120 122	1206331720380
STPT(10)	3741354706494774947	0 2 30 32 42 44 54 56 84 86	1398831235380
SPT(16)	3741354724378276559	0 24 30 60 80 98 114 140 228 254 270 288 308 338 344 368	1416714736992