Prime p₀= 1286428813783650749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: mikey
db: batch=77, k=10, 2 40 2 16 2

SPT(18)	1286427390313486867	0 24 34 40 64 90 130 154 166 174 186 210 250 276 300 306 316 340	-1423470163882
SPT(16)	1286427439986983251	0 6 42 52 60 70 118 150 178 210 258 268 276 286 322 328	-1373796667498
SPT(16)	1286428294379734763	0 26 36 50 56 78 90 176 180 266 278 300 306 320 330 356	-519403915986
SPT(16)	1286428473899887463	0 68 98 104 126 168 216 234 290 308 356 398 420 426 456 524	-339883763286
STPT(10)	1286428475777717939	0 2 18 20 30 32 42 44 60 62	-338005932810
SPT(16)	1286428629223650607	0 22 30 52 112 114 132 154 192 214 232 234 294 316 324 346	-184560000142
SPT(16)	1286428837352826887	0 30 32 42 54 62 102 114 140 152 192 200 212 222 224 254	23569176138
STPT(10)	1286428844466303227	0 2 30 32 42 44 54 56 84 86	30682652478
SPT(16)	1286428882442807057	0 12 44 50 54 114 204 206 210 212 302 362 366 372 404 416	68659156308
SPT(16)	1286428945171500817	0 10 30 36 46 52 60 70 102 112 120 126 136 142 162 172	131387850068
SPT(16)	1286429610842650061	0 32 36 72 116 126 156 168 230 242 272 282 326 362 366 398	797058999312