Prime p₀= 2258854238314124147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 58 2

STPT(10)	2258853524249582957	0 2 12 14 72 74 132 134 144 146	-714064541190
STPT(10)	2258853714793841951	0 2 30 32 78 80 126 128 156 158	-523520282196
SPT(16)	2258853859291830721	0 12 40 60 162 166 250 312 316 378 462 466 568 588 616 628	-379022293426
STPT(10)	2258853876532934801	0 2 30 32 168 170 306 308 336 338	-361781189346
SPT(16)	2258853952477502537	0 2 6 24 26 62 66 84 92 110 114 150 152 170 174 176	-285836621610
SPT(16)	2258854212608798843	0 54 56 80 86 120 134 150 194 210 224 258 264 288 290 344	-25705325304
STPT(10)	2258854307677577609	0 2 18 20 30 32 42 44 60 62	69363453462
SPT(16)	2258854352047806481	0 28 42 48 72 78 96 126 232 262 280 286 310 316 330 358	113733682334
SPT(16)	2258854362451728553	0 4 24 46 100 106 114 120 130 136 144 150 204 226 246 250	124137604406
SPT(13)	2258854534157907769	0 12 24 102 144 180 222 264 300 342 420 432 444	295843783622
SPT(16)	2258854870690957309	0 52 144 148 172 220 262 288 304 330 372 420 444 448 540 592	632376833162