Prime p₀= 1586075271948036137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: crashtech
db: batch=78, k=10, 2 28 2 40 2

STPT(10)	1586073876011930309	0 2 42 44 90 92 138 140 180 182	-1395936105828
SPT(16)	1586073961225409287	0 24 46 66 112 114 144 190 276 322 352 354 400 420 442 466	-1310722626850
SPT(16)	1586074236107033479	0 30 58 70 100 118 144 154 204 214 240 258 288 300 328 358	-1035841002658
STPT(10)	1586075014503156521	0 2 36 38 78 80 120 122 156 158	-257444879616
STPT(10)	1586075108063054639	0 2 30 32 60 62 90 92 120 122	-163884981498
SPT(16)	1586075214966394429	0 54 132 154 162 172 180 210 292 322 330 340 348 370 448 502	-56981641708
SPT(16)	1586075860186627441	0 42 46 48 60 66 112 118 120 126 172 178 190 192 196 238	588238591304
SPT(18)	1586075972161665613	0 4 18 28 40 48 54 66 94 210 238 250 256 264 276 286 300 304	700213629476
SPT(16)	1586076076255408091	0 6 60 72 110 162 170 176 222 228 236 288 326 338 392 398	804307371954
TPT(14)	1586077121233917131	0 2 120 122 150 152 156 158 210 212 318 320 408 410	1849285880994
SPT(16)	1586077354965572377	0 10 42 100 124 130 150 186 220 256 276 282 306 364 396 406	2083017536240