Prime p₀= 740891847834624557 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: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	740891120785184279	0 18 30 92 102 114 170 180 242 252 308 320 330 392 404 422	-727049440278
SPT(18)	740891150971149461	0 2 30 38 72 98 132 140 150 170 180 188 222 248 282 290 318 320	-696863475096
SPT(16)	740891156204361913	0 34 66 84 90 130 136 144 226 234 240 280 286 304 336 370	-691630262644
STPT(12)	740891212677313499	0 2 60 62 90 92 138 140 168 170 228 230	-635157311058
SPT(16)	740891246406239233	0 76 184 216 226 288 310 324 340 354 376 438 448 480 588 664	-601428385324
SPT(16)	740891842139774951	0 138 162 212 240 246 248 308 330 390 392 398 426 476 500 638	-5694849606
SPT(16)	740891890990889681	0 32 38 68 80 92 102 120 140 158 168 180 192 222 228 260	43156265124
SPT(16)	740892071903545091	0 32 50 66 78 176 186 248 270 332 342 440 452 468 486 518	224068920534
STPT(10)	740892095865490991	0 2 36 38 78 80 120 122 156 158	248030866434
SPT(16)	740892195865005529	0 64 132 160 184 274 280 300 424 444 450 540 564 592 660 724	348030380972
STPT(12)	740892680663647079	0 2 12 14 72 74 78 80 138 140 150 152	832829022522