Prime p₀= 2338650429943508027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2338649623899546847	0 42 106 156 162 172 180 184 192 196 204 214 220 270 334 376	-806043961180
STPT(10)	2338649760288501629	0 2 12 14 30 32 48 50 60 62	-669655006398
SPT(16)	2338649814109693093	0 16 58 64 66 84 106 196 228 318 340 358 360 366 408 424	-615833814934
STPT(10)	2338650148849573367	0 2 30 32 42 44 54 56 84 86	-281093934660
SPT(16)	2338650227929447373	0 50 54 56 74 96 120 146 168 194 218 240 258 260 264 314	-202014060654
SPT(16)	2338650308168575699	0 12 42 48 64 82 114 148 264 298 330 348 364 370 400 412	-121774932328
TPT(14)	2338650564888359801	0 2 30 32 48 50 78 80 156 158 198 200 288 290	134944851774
STPT(10)	2338650656946799379	0 2 18 20 30 32 42 44 60 62	227003291352
STPT(10)	2338650979547789111	0 2 6 8 18 20 30 32 36 38	549604281084
SPT(16)	2338651042497127451	0 2 30 32 86 122 132 162 170 200 210 246 300 302 330 332	612553619424
SPT(16)	2338651322579535449	0 2 38 44 72 78 104 122 180 198 224 230 258 264 300 302	892636027422