Prime p₀= 2037126405740821007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2037125026288820527	0 22 30 112 124 174 204 220 264 280 310 360 372 454 462 484	-1379452000480
TPT(14)	2037125168285989721	0 2 60 62 90 92 156 158 168 170 210 212 288 290	-1237454831286
STPT(10)	2037125361282063761	0 2 36 38 78 80 120 122 156 158	-1044458757246
STPT(10)	2037126019784872109	0 2 18 20 30 32 42 44 60 62	-385955948898
SPT(16)	2037126139498734587	0 20 24 30 44 62 86 90 116 120 144 162 176 182 186 206	-266242086420
SPT(16)	2037126221229920671	0 12 22 28 60 82 100 130 138 168 186 208 240 246 256 268	-184510900336
TPT(14)	2037126580056004859	0 2 48 50 78 80 120 122 198 200 240 242 342 344	174315183852
STPT(10)	2037126608811989789	0 2 48 50 90 92 132 134 180 182	203071168782
SPT(16)	2037126928792744961	0 12 42 50 176 186 222 260 288 326 362 372 498 506 536 548	523051923954
STPT(10)	2037126942927116009	0 2 12 14 30 32 48 50 60 62	537186295002
STPT(10)	2037127315216782587	0 2 30 32 42 44 54 56 84 86	909475961580