Prime p₀= 2989667732470525031 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Orange Kid
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2989667358152745223	0 30 66 70 130 174 178 184 330 336 340 384 444 448 484 514	-374317779808
SPT(16)	2989667362936038709	0 58 72 82 88 94 138 150 172 184 228 234 240 250 264 322	-369534486322
SPT(16)	2989667525602369399	0 40 54 124 130 132 198 204 208 214 280 282 288 358 372 412	-206868155632
SPT(16)	2989667545704270581	0 30 56 62 66 72 122 132 146 156 206 212 216 222 248 278	-186766254450
SPT(16)	2989667645113631023	0 66 70 148 154 210 258 318 346 406 454 510 516 594 598 664	-87356894008
TPT(14)	2989667712229222391	0 2 66 68 108 110 180 182 210 212 276 278 300 302	-20241302640
STPT(10)	2989668051088100927	0 2 30 32 42 44 54 56 84 86	318617575896
STPT(10)	2989668095278309967	0 2 30 32 42 44 54 56 84 86	362807784936
SPT(16)	2989668230472457141	0 10 12 90 100 126 132 142 150 160 166 192 202 280 282 292	498001932110
SPT(16)	2989668549039818603	0 18 26 60 74 96 116 138 146 168 188 210 224 258 266 284	816569293572
STPT(10)	2989668567305248649	0 2 18 20 30 32 42 44 60 62	834834723618