Prime p₀= 2036912732723792657 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)	2036910986880257897	0 14 36 44 66 120 156 170 210 224 260 314 336 344 366 380	-1745843534760
SPT(16)	2036911616134949303	0 18 68 80 116 168 170 198 206 234 236 288 324 336 386 404	-1116588843354
SPT(16)	2036912183234814463	0 4 28 40 58 70 100 106 138 144 174 186 204 216 240 244	-549488978194
SPT(16)	2036912457101186131	0 42 48 60 82 106 108 126 172 190 192 216 238 250 256 298	-275622606526
STPT(10)	2036912471154250601	0 2 6 8 18 20 30 32 36 38	-261569542056
SPT(16)	2036912690273397569	0 14 20 24 98 150 168 194 204 230 248 300 374 378 384 398	-42450395088
STPT(10)	2036912802632183249	0 2 48 50 90 92 132 134 180 182	69908390592
SPT(16)	2036912933650901711	0 26 30 38 42 62 108 150 188 230 276 296 300 308 312 338	200927109054
STPT(10)	2036913236180021567	0 2 30 32 42 44 54 56 84 86	503456228910
STPT(10)	2036913257055794441	0 2 36 38 78 80 120 122 156 158	524332001784
SPT(16)	2036913264291815171	0 6 30 78 120 138 140 146 162 168 170 188 230 278 302 308	531568022514