Prime p₀= 1258137449121921461 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: HenkM
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1258136334501161231	0 12 48 62 68 128 146 152 156 162 180 240 246 260 296 308	-1114620760230
SPT(16)	1258136456900706791	0 18 56 158 176 200 210 212 246 248 258 282 300 402 440 458	-992221214670
STPT(10)	1258136574012083279	0 2 48 50 90 92 132 134 180 182	-875109838182
SPT(16)	1258136644683665759	0 12 18 42 138 140 150 200 210 260 270 272 368 392 398 410	-804438255702
TPT(14)	1258136782453584569	0 2 180 182 222 224 228 230 252 254 258 260 312 314	-666668336892
SPT(16)	1258136997771631333	0 16 48 58 88 108 114 118 126 130 136 156 186 196 228 244	-451350290128
STPT(10)	1258137811334286401	0 2 30 32 78 80 126 128 156 158	362212364940
SPT(16)	1258137892640191699	0 10 22 42 48 58 94 112 120 138 174 184 190 210 222 232	443518270238
STPT(10)	1258137893250074201	0 2 78 80 138 140 198 200 276 278	444128152740
STPT(10)	1258138005036076919	0 2 18 20 30 32 42 44 60 62	555914155458
SPT(16)	1258138045220977099	0 12 22 64 82 88 130 238 264 372 414 420 438 480 490 502	596099055638