Prime p₀= 1058102788244360387 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: Theadalus
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1058102149132337917	0 10 40 46 60 66 82 84 112 114 130 136 150 156 186 196	-639112022470
SPT(16)	1058102319864884927	0 2 14 44 90 92 224 230 276 282 414 416 462 492 504 506	-468379475460
STPT(10)	1058102459786989817	0 2 30 32 72 74 114 116 144 146	-328457370570
SPT(16)	1058102496475921123	0 34 54 58 90 96 120 126 148 154 178 184 216 220 240 274	-291768439264
TPT(18)	1058102530475313941	0 2 36 38 120 122 156 158 246 248 270 272 288 290 300 302 336 338	-257769046446
TPT(14)	1058102631454553849	0 2 108 110 168 170 288 290 360 362 378 380 420 422	-156789806538
SPT(16)	1058102904381738799	0 28 30 48 58 64 78 114 154 190 204 210 220 238 240 268	116137378412
SPT(16)	1058103124564311593	0 60 66 80 84 104 150 158 216 224 270 290 294 308 314 374	336319951206
STPT(10)	1058103164261356427	0 2 30 32 42 44 54 56 84 86	376016996040
SPT(16)	1058103329742865799	0 8 50 68 72 92 110 128 204 222 240 260 264 282 324 332	541498505412
STPT(10)	1058103691360940297	0 2 54 56 132 134 210 212 264 266	903116579910