Prime p₀= 3006662785945421747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: [SG]ATA-Rolf
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	3006661097282020613	0 8 50 54 78 116 120 164 240 284 288 326 350 354 396 404	-1688663401134
STPT(10)	3006661616041759757	0 2 42 44 72 74 102 104 144 146	-1169903661990
SPT(16)	3006661978719772367	0 24 30 56 60 80 92 102 134 144 156 176 180 206 212 236	-807225649380
SPT(16)	3006662112108239131	0 70 126 136 150 166 180 186 232 238 252 268 282 292 348 418	-673837182616
SPT(18)	3006662302958427797	0 26 36 54 56 104 140 144 162 164 182 186 222 270 272 290 300 326	-482986993950
STPT(10)	3006662477385666509	0 2 48 50 90 92 132 134 180 182	-308559755238
STPT(10)	3006663019430480477	0 2 12 14 42 44 72 74 84 86	233485058730
SPT(16)	3006663561215490053	0 8 20 36 50 78 80 104 150 174 176 204 218 234 246 254	775270068306
SPT(18)	3006664110431091449	0 42 50 62 84 132 174 182 188 234 240 248 290 338 360 372 380 422	1324485669702
TPT(14)	3006664330507183637	0 2 42 44 174 176 210 212 282 284 300 302 354 356	1544561761890
SPT(16)	3006664544058451147	0 6 70 72 76 172 190 196 216 222 240 336 340 342 406 412	1758113029400