Prime p₀= 2089027703283206891 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

TPT(14)	2089025488391375711	0 2 36 38 48 50 156 158 240 242 246 248 258 260	-2214891831180
STPT(10)	2089025518838079707	0 2 54 56 72 74 90 92 144 146	-2184445127184
SPT(16)	2089025519717712529	0 24 42 72 78 114 120 160 192 232 238 274 280 310 328 352	-2183565494362
SPT(16)	2089025564887425121	0 16 88 90 100 196 198 222 256 280 282 378 388 390 462 478	-2138395781770
STPT(10)	2089026935862919487	0 2 30 32 120 122 210 212 240 242	-767420287404
SPT(16)	2089026996026106541	0 10 18 58 108 142 198 220 228 250 306 340 390 430 438 448	-707257100350
SPT(16)	2089027767819910573	0 6 60 76 88 94 108 160 264 316 330 336 348 364 418 424	64536703682
SPT(16)	2089027777561938271	0 22 48 60 70 90 106 108 130 132 148 168 178 190 216 238	74278731380
STPT(10)	2089028633439929297	0 2 30 32 42 44 54 56 84 86	930156722406
SPT(16)	2089029076621841491	0 16 18 70 76 82 100 142 186 228 246 252 258 310 312 328	1373338634600
SPT(16)	2089029093184633057	0 52 76 84 96 126 132 142 174 184 190 220 232 240 264 316	1389901426166