Prime p₀= 2582119983228560651 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2582118734265603161	0 18 26 90 96 98 128 140 156 168 198 200 206 270 278 296	-1248962957490
SPT(16)	2582119224276457511	0 2 6 32 38 42 92 98 150 156 206 210 216 242 246 248	-758952103140
TPT(14)	2582119699852034129	0 2 12 14 132 134 168 170 228 230 258 260 270 272	-283376526522
STPT(10)	2582119742372145761	0 2 36 38 78 80 120 122 156 158	-240856414890
STPT(10)	2582119775331595319	0 2 42 44 60 62 78 80 120 122	-207896965332
TPT(14)	2582119794680824289	0 2 48 50 78 80 90 92 108 110 150 152 258 260	-188547736362
SPT(16)	2582120616543423083	0 24 74 120 140 146 156 170 204 218 228 234 254 300 350 374	633314862432
SPT(16)	2582120664145459763	0 6 14 20 86 98 104 140 174 210 216 228 294 300 308 314	680916899112
SPT(16)	2582120773811737973	0 20 38 44 50 80 86 126 128 168 174 204 210 216 234 254	790583177322
SPT(16)	2582121101909162071	0 10 66 112 150 172 220 256 342 378 426 448 486 532 588 598	1118680601420
SPT(16)	2582121235160927353	0 24 36 64 166 190 204 304 390 490 504 528 630 658 670 694	1251932366702