Prime p₀= 2037024261697659917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2037022361152084283	0 14 18 38 54 60 66 80 84 98 104 110 126 146 150 164	-1900545575634
STPT(10)	2037022615202081537	0 2 30 32 60 62 90 92 120 122	-1646495578380
SPT(16)	2037022768113554797	0 24 52 60 66 114 144 162 184 202 232 280 286 294 322 346	-1493584105120
STPT(10)	2037023208470839607	0 2 42 44 72 74 102 104 144 146	-1053226820310
STPT(10)	2037023454029783699	0 2 18 20 30 32 42 44 60 62	-807667876218
STPT(10)	2037023785699621217	0 2 30 32 72 74 114 116 144 146	-475998038700
STPT(10)	2037024541068332117	0 2 30 32 42 44 54 56 84 86	279370672200
STPT(10)	2037025137424656947	0 2 12 14 42 44 72 74 84 86	875726997030
STPT(10)	2037025171576278881	0 2 6 8 48 50 90 92 96 98	909878618964
SPT(16)	2037025287512458351	0 36 72 108 138 148 180 192 196 208 240 250 280 316 352 388	1025814798434
SPT(16)	2037025906013537921	0 6 56 66 80 152 170 180 182 192 210 282 296 306 356 362	1644315878004