Prime p₀= 2350004741971788227 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: suriv
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2350004155953349339	0 12 28 34 54 70 78 90 112 124 132 148 168 174 190 202	-586018438888
SPT(16)	2350004172577593277	0 4 12 30 40 42 64 82 102 120 142 144 154 172 180 184	-569394194950
STPT(10)	2350004323623656459	0 2 42 44 90 92 138 140 180 182	-418348131768
STPT(10)	2350004506140063959	0 2 18 20 30 32 42 44 60 62	-235831724268
SPT(16)	2350004594855987989	0 12 34 40 82 142 162 204 238 280 300 360 402 408 430 442	-147115800238
SPT(16)	2350004723485235119	0 52 58 150 168 174 270 294 328 352 448 454 472 564 570 622	-18486553108
SPT(16)	2350005271830586789	0 18 24 42 52 58 84 100 102 118 144 150 160 178 184 202	529858798562
STPT(12)	2350005372613427297	0 2 30 32 42 44 72 74 84 86 114 116	630641639070
STPT(10)	2350005951707005367	0 2 12 14 42 44 72 74 84 86	1209735217140
SPT(16)	2350006142786021081	0 6 20 32 36 110 116 138 140 162 168 242 246 258 272 278	1400814232854
STPT(10)	2350006158408279191	0 2 6 8 18 20 30 32 36 38	1416436490964