Prime p₀= 2037110910686636957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 52 2 76 2

STPT(10)	2037109095504690437	0 2 24 26 42 44 60 62 84 86	-1815181946520
SPT(16)	2037109113623607479	0 14 30 32 60 68 98 162 200 264 294 302 330 332 348 362	-1797063029478
STPT(10)	2037109640432046197	0 2 90 92 132 134 174 176 264 266	-1270254590760
SPT(16)	2037110122932978937	0 34 42 114 132 142 160 180 244 264 282 292 310 382 390 424	-787753658020
SPT(16)	2037110403131210951	0 12 20 42 90 110 146 162 206 222 258 278 326 348 356 368	-507555426006
STPT(10)	2037110728976920697	0 2 60 62 72 74 84 86 144 146	-181709716260
SPT(16)	2037111251853811649	0 14 74 90 102 104 132 168 194 230 258 260 272 288 348 362	341167174692
SPT(16)	2037111372150204349	0 30 42 82 84 90 108 192 310 394 412 418 420 460 472 502	461463567392
STPT(10)	2037111449474866517	0 2 30 32 42 44 54 56 84 86	538788229560
SPT(16)	2037111474474827603	0 6 24 80 90 98 108 116 198 206 216 224 234 290 308 314	563788190646
STPT(10)	2037112210885509851	0 2 30 32 60 62 90 92 120 122	1300198872894