Prime p₀= 725326569267905789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: jozef j
db: batch=73, k=10, 2 28 2 28 2

SPT(16)	725325552631077383	0 20 30 66 86 96 140 164 240 264 308 318 338 374 384 404	-1016636828406
SPT(16)	725325597980322727	0 22 42 112 120 150 154 166 180 192 196 226 234 304 324 346	-971287583062
SPT(16)	725325670612091203	0 36 40 46 76 78 88 90 196 198 208 210 240 246 250 286	-898655814586
SPT(16)	725325806338372051	0 16 18 46 96 106 126 168 208 250 270 280 330 358 360 376	-762929533738
SPT(16)	725326199481695627	0 6 14 30 56 90 140 156 170 186 236 270 296 312 320 326	-369786210162
STPT(10)	725326200716910341	0 2 6 8 48 50 90 92 96 98	-368550995448
SPT(16)	725326785583669697	0 32 86 110 134 162 182 186 260 264 284 312 336 360 414 446	216315763908
STPT(10)	725327005997794199	0 2 18 20 30 32 42 44 60 62	436729888410
STPT(10)	725327282099640107	0 2 24 26 42 44 60 62 84 86	712831734318
TPT(14)	725327376820992527	0 2 72 74 114 116 162 164 180 182 204 206 234 236	807553086738
STPT(10)	725327425920883601	0 2 6 8 48 50 90 92 96 98	856652977812