Prime p₀= 2040123172050104129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: LeChat51X
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2040121583765116529	0 2 12 14 18 20 108 110 150 152 168 170 240 242	-1588284987600
SPT(16)	2040121750842043441	0 28 42 70 100 126 130 156 172 198 202 228 258 286 300 328	-1421208060688
SPT(16)	2040121807117041077	0 2 30 96 104 140 210 216 260 266 336 372 380 446 474 476	-1364933063052
STPT(10)	2040121909848174071	0 2 6 8 108 110 210 212 216 218	-1262201930058
SPT(16)	2040121924047219563	0 36 84 108 134 140 144 168 176 200 204 210 236 260 308 344	-1248002884566
SPT(16)	2040123039395705461	0 16 22 36 40 46 70 72 136 138 162 168 172 186 192 208	-132654398668
SPT(16)	2040123234051316021	0 10 58 60 66 76 90 108 160 178 192 202 208 210 258 268	62001211892
TPT(14)	2040123442372606937	0 2 54 56 84 86 132 134 234 236 360 362 384 386	270322502808
SPT(16)	2040123557495096287	0 40 42 96 106 142 174 232 264 322 354 390 400 454 456 496	385444992158
STPT(10)	2040123632730572729	0 2 18 20 30 32 42 44 60 62	460680468600
STPT(10)	2040123790996090571	0 2 36 38 78 80 120 122 156 158	618945986442