Prime p₀= 2327574137620152527 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=81, k=10, 2 28 2 10 2

TPT(14)	2327572722206144591	0 2 6 8 36 38 66 68 78 80 120 122 126 128	-1415414007936
SPT(16)	2327572904582417171	0 36 80 92 176 198 212 218 270 276 290 312 396 408 452 488	-1233037735356
STPT(10)	2327572967922736379	0 2 18 20 30 32 42 44 60 62	-1169697416148
STPT(10)	2327573170542199757	0 2 60 62 72 74 84 86 144 146	-967077952770
SPT(16)	2327573298748898063	0 8 30 78 80 86 108 128 168 188 210 216 218 266 288 296	-838871254464
SPT(16)	2327574088638322627	0 6 42 46 64 76 90 120 136 166 180 192 210 214 250 256	-48981829900
SPT(16)	2327574438116295293	0 8 14 44 66 126 164 204 260 300 338 398 420 450 456 464	300496142766
STPT(10)	2327574536779747679	0 2 48 50 90 92 132 134 180 182	399159595152
SPT(16)	2327574650087107189	0 42 52 70 82 88 90 108 112 130 132 138 150 168 178 220	512466954662
STPT(10)	2327574872863145987	0 2 12 14 72 74 132 134 144 146	735242993460
STPT(10)	2327575366261225019	0 2 18 20 30 32 42 44 60 62	1228641072492