Prime p₀= 2076970699727571827 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

SPT(16)	2076969269565036211	0 82 100 102 136 138 156 210 238 292 310 312 346 348 366 448	-1430162535616
SPT(16)	2076969352572205601	0 2 20 32 80 102 108 138 200 230 236 258 306 318 336 338	-1347155366226
SPT(16)	2076969393750780523	0 24 30 40 54 120 150 196 234 280 310 376 390 400 406 430	-1305976791304
SPT(16)	2076970223787838453	0 6 28 70 96 118 144 210 334 400 426 448 474 516 538 544	-475939733374
SPT(16)	2076970315457909387	0 62 110 152 162 164 174 176 180 182 192 194 204 246 294 356	-384269662440
TPT(14)	2076970689099531527	0 2 30 32 54 56 84 86 120 122 162 164 234 236	-10628040300
SPT(16)	2076971388446169739	0 10 112 138 160 174 214 258 304 348 388 402 424 450 552 562	688718597912
STPT(10)	2076971516961675119	0 2 30 32 60 62 90 92 120 122	817234103292
STPT(10)	2076971597550519749	0 2 48 50 60 62 72 74 120 122	897822947922
STPT(10)	2076971910604316807	0 2 54 56 72 74 90 92 144 146	1210876744980
STPT(10)	2076971988920190959	0 2 42 44 60 62 78 80 120 122	1289192619132