Prime p₀= 2989668051088100927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2989667362936038709	0 58 72 82 88 94 138 150 172 184 228 234 240 250 264 322	-688152062218
SPT(16)	2989667525602369399	0 40 54 124 130 132 198 204 208 214 280 282 288 358 372 412	-525485731528
SPT(16)	2989667545704270581	0 30 56 62 66 72 122 132 146 156 206 212 216 222 248 278	-505383830346
SPT(16)	2989667645113631023	0 66 70 148 154 210 258 318 346 406 454 510 516 594 598 664	-405974469904
TPT(14)	2989667712229222391	0 2 66 68 108 110 180 182 210 212 276 278 300 302	-338858878536
STPT(10)	2989667732470525031	0 2 30 32 78 80 126 128 156 158	-318617575896
STPT(10)	2989668095278309967	0 2 30 32 42 44 54 56 84 86	44190209040
SPT(16)	2989668230472457141	0 10 12 90 100 126 132 142 150 160 166 192 202 280 282 292	179384356214
SPT(16)	2989668549039818603	0 18 26 60 74 96 116 138 146 168 188 210 224 258 266 284	497951717676
STPT(10)	2989668567305248649	0 2 18 20 30 32 42 44 60 62	516217147722
STPT(10)	2989668630689272151	0 2 6 8 48 50 90 92 96 98	579601171224