Prime p₀= 724927123509958277 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: stasieks
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	724926550854591601	0 28 48 60 66 106 172 180 328 336 402 442 448 460 480 508	-572655366676
STPT(10)	724926741686823449	0 2 12 14 90 92 168 170 180 182	-381823134828
SPT(16)	724926753947800913	0 26 54 68 110 126 144 150 194 200 218 234 276 290 318 344	-369562157364
STPT(10)	724926940557215909	0 2 42 44 60 62 78 80 120 122	-182952742368
SPT(16)	724926950667046837	0 6 22 30 54 64 112 124 282 294 342 352 376 384 400 406	-172842911440
STPT(10)	724927085567876801	0 2 30 32 78 80 126 128 156 158	-37942081476
TPT(14)	724927203982297241	0 2 90 92 126 128 156 158 186 188 228 230 246 248	80472338964
SPT(16)	724927271797173013	0 6 28 70 76 108 126 136 150 160 178 210 216 258 280 286	148287214736
STPT(10)	724927419405952517	0 2 30 32 42 44 54 56 84 86	295895994240
STPT(10)	724927551100022507	0 2 12 14 42 44 72 74 84 86	427590064230
SPT(16)	724927652422484891	0 42 80 108 116 158 186 198 260 272 300 342 350 378 416 458	528912526614