Prime p₀= 2537584640917177121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2537583465506010461	0 8 38 42 78 80 92 102 116 126 138 140 176 180 210 218	-1175411166660
SPT(16)	2537583785749581449	0 18 24 38 60 72 104 122 150 168 200 212 234 248 254 272	-855167595672
SPT(16)	2537584132719631469	0 38 68 90 138 140 152 218 222 288 300 302 350 372 402 440	-508197545652
SPT(16)	2537584412232279563	0 14 26 66 74 80 84 126 248 290 294 300 308 348 360 374	-228684897558
STPT(10)	2537584521198100769	0 2 48 50 90 92 132 134 180 182	-119719076352
SPT(13)	2537584541782169333	0 6 60 90 108 126 138 150 168 186 216 270 276	-99135007788
STPT(12)	2537584687371470489	0 2 18 20 30 32 228 230 240 242 258 260	46454293368
STPT(10)	2537585240394233999	0 2 12 14 90 92 168 170 180 182	599477056878
TPT(14)	2537585321013303851	0 2 36 38 90 92 246 248 288 290 300 302 378 380	680096126730
STPT(10)	2537585583492694349	0 2 18 20 30 32 42 44 60 62	942575517228
SPT(16)	2537585849630911481	0 2 30 42 68 72 78 98 120 140 146 150 176 188 216 218	1208713734360