Prime p₀= 1258137811334286401 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: HenkM
db: batch=77, k=10, 2 28 2 46 2

SPT(16)	1258136456900706791	0 18 56 158 176 200 210 212 246 248 258 282 300 402 440 458	-1354433579610
STPT(10)	1258136574012083279	0 2 48 50 90 92 132 134 180 182	-1237322203122
SPT(16)	1258136644683665759	0 12 18 42 138 140 150 200 210 260 270 272 368 392 398 410	-1166650620642
TPT(14)	1258136782453584569	0 2 180 182 222 224 228 230 252 254 258 260 312 314	-1028880701832
SPT(16)	1258136997771631333	0 16 48 58 88 108 114 118 126 130 136 156 186 196 228 244	-813562655068
STPT(10)	1258137449121921461	0 2 30 32 60 62 90 92 120 122	-362212364940
SPT(16)	1258137892640191699	0 10 22 42 48 58 94 112 120 138 174 184 190 210 222 232	81305905298
STPT(10)	1258137893250074201	0 2 78 80 138 140 198 200 276 278	81915787800
STPT(10)	1258138005036076919	0 2 18 20 30 32 42 44 60 62	193701790518
SPT(16)	1258138045220977099	0 12 22 64 82 88 130 238 264 372 414 420 438 480 490 502	233886690698
SPT(16)	1258138706778076303	0 36 70 90 124 130 154 196 228 270 294 300 334 354 388 424	895443789902