Prime p₀= 2582119775331595319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

SPT(16)	2582117988576981979	0 28 42 124 130 160 168 202 270 304 312 342 348 430 444 472	-1786754613340
STPT(10)	2582118362863532321	0 2 6 8 48 50 90 92 96 98	-1412468062998
SPT(16)	2582118734265603161	0 18 26 90 96 98 128 140 156 168 198 200 206 270 278 296	-1041065992158
SPT(16)	2582119224276457511	0 2 6 32 38 42 92 98 150 156 206 210 216 242 246 248	-551055137808
TPT(14)	2582119699852034129	0 2 12 14 132 134 168 170 228 230 258 260 270 272	-75479561190
STPT(10)	2582119742372145761	0 2 36 38 78 80 120 122 156 158	-32959449558
TPT(14)	2582119794680824289	0 2 48 50 78 80 90 92 108 110 150 152 258 260	19349228970
STPT(10)	2582119983228560651	0 2 30 32 60 62 90 92 120 122	207896965332
SPT(16)	2582120616543423083	0 24 74 120 140 146 156 170 204 218 228 234 254 300 350 374	841211827764
SPT(16)	2582120664145459763	0 6 14 20 86 98 104 140 174 210 216 228 294 300 308 314	888813864444
SPT(16)	2582120773811737973	0 20 38 44 50 80 86 126 128 168 174 204 210 216 234 254	998480142654