Prime p₀= 2582121952299151607 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2582120616543423083	0 24 74 120 140 146 156 170 204 218 228 234 254 300 350 374	-1335755728524
SPT(16)	2582120664145459763	0 6 14 20 86 98 104 140 174 210 216 228 294 300 308 314	-1288153691844
SPT(16)	2582120773811737973	0 20 38 44 50 80 86 126 128 168 174 204 210 216 234 254	-1178487413634
SPT(16)	2582121101909162071	0 10 66 112 150 172 220 256 342 378 426 448 486 532 588 598	-850389989536
SPT(16)	2582121235160927353	0 24 36 64 166 190 204 304 390 490 504 528 630 658 670 694	-717138224254
SPT(16)	2582121521015292349	0 22 60 64 70 90 132 142 162 172 214 234 240 244 282 304	-431283859258
SPT(16)	2582122448004834547	0 10 46 66 120 124 156 226 234 304 336 340 394 414 450 460	495705682940
SPT(18)	2582122526535199717	0 34 40 76 82 142 180 216 244 342 370 406 444 504 510 546 552 586	574236048110
STPT(10)	2582122738506259757	0 2 30 32 42 44 54 56 84 86	786207108150
SPT(16)	2582122769478554087	0 42 56 62 74 104 132 206 210 284 312 342 354 360 374 416	817179402480
STPT(10)	2582122813888122077	0 2 24 26 42 44 60 62 84 86	861588970470