Prime p₀= 1058102459786989817 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: Theadalus
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	1058101022551176911	0 48 68 80 116 132 158 168 170 180 206 222 258 270 290 338	-1437235812906
SPT(16)	1058101132946149459	0 10 30 84 88 100 114 160 192 238 252 264 268 322 342 352	-1326840840358
TPT(14)	1058101142812725239	0 2 18 20 48 50 72 74 90 92 132 134 138 140	-1316974264578
SPT(18)	1058101430174130791	0 8 12 86 98 102 158 186 206 282 302 330 386 390 402 476 480 488	-1029612859026
SPT(16)	1058102149132337917	0 10 40 46 60 66 82 84 112 114 130 136 150 156 186 196	-310654651900
SPT(16)	1058102319864884927	0 2 14 44 90 92 224 230 276 282 414 416 462 492 504 506	-139922104890
SPT(16)	1058102496475921123	0 34 54 58 90 96 120 126 148 154 178 184 216 220 240 274	36688931306
TPT(18)	1058102530475313941	0 2 36 38 120 122 156 158 246 248 270 272 288 290 300 302 336 338	70688324124
TPT(14)	1058102631454553849	0 2 108 110 168 170 288 290 360 362 378 380 420 422	171667564032
STPT(10)	1058102788244360387	0 2 42 44 72 74 102 104 144 146	328457370570
SPT(16)	1058102904381738799	0 28 30 48 58 64 78 114 154 190 204 210 220 238 240 268	444594748982