Prime p₀= 2597746937596097897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2597746104759157453	0 28 96 118 136 184 210 258 286 334 360 408 426 448 516 544	-832836940444
STPT(10)	2597746153750278239	0 2 42 44 60 62 78 80 120 122	-783845819658
STPT(10)	2597746306896416057	0 2 90 92 132 134 174 176 264 266	-630699681840
SPT(16)	2597746546329091349	0 8 30 38 114 128 164 210 212 258 294 308 384 392 414 422	-391267006548
STPT(10)	2597746781175115571	0 2 78 80 138 140 198 200 276 278	-156420982326
SPT(16)	2597746845179189647	0 30 42 72 76 124 160 166 270 276 312 360 364 394 406 436	-92416908250
SPT(16)	2597747054452642997	0 42 62 66 72 120 126 132 164 170 176 224 230 234 254 296	116856545100
STPT(10)	2597747202245628029	0 2 42 44 60 62 78 80 120 122	264649530132
SPT(16)	2597747313828415883	0 36 56 60 66 78 80 84 110 114 116 128 134 138 158 194	376232317986
TPT(14)	2597747993044528307	0 2 90 92 144 146 174 176 222 224 240 242 282 284	1055448430410
STPT(10)	2597748184233369689	0 2 18 20 30 32 42 44 60 62	1246637271792