Prime p₀= 2003724266625879797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2003723080352861501	0 30 36 50 72 78 138 152 156 170 230 236 258 272 278 308	-1186273018296
SPT(16)	2003723292617946899	0 20 32 38 44 54 72 98 114 140 158 168 174 180 192 212	-974007932898
STPT(10)	2003723579546936321	0 2 6 8 48 50 90 92 96 98	-687078943476
SPT(16)	2003723736454538237	0 12 24 54 62 72 84 90 104 110 122 132 140 170 182 194	-530171341560
TPT(14)	2003723756748844979	0 2 102 104 162 164 252 254 270 272 330 332 408 410	-509877034818
STPT(10)	2003724241359346349	0 2 18 20 30 32 42 44 60 62	-25266533448
STPT(10)	2003724412004815601	0 2 6 8 48 50 90 92 96 98	145378935804
STPT(10)	2003724417786376469	0 2 18 20 30 32 42 44 60 62	151160496672
SPT(16)	2003724722034939727	0 4 6 10 40 46 54 64 66 76 84 90 120 124 126 130	455409059930
STPT(10)	2003724749889633479	0 2 42 44 60 62 78 80 120 122	483263753682
SPT(16)	2003725454731509521	0 8 26 38 42 56 78 80 108 110 132 146 150 162 180 188	1188105629724