Prime p₀= 1058102530475313941 starts a Tuple of 18 consecutive primes, which form 9 twin primes (TPT).
d_n: 0 2 34 2 82 2 34 2 88 2 22 2 16 2 10 2 34 2 (?)
a_n: 0 2 36 38 120 122 156 158 246 248 270 272 288 290 300 302 336 338
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 338
Found by: Theadalus
db: batch=76, k=18, 34 82 34 88 22 16 10 34

TPT(14)	1058101142812725239	0 2 18 20 48 50 72 74 90 92 132 134 138 140	-1387662588702
SPT(18)	1058101430174130791	0 8 12 86 98 102 158 186 206 282 302 330 386 390 402 476 480 488	-1100301183150
SPT(16)	1058102149132337917	0 10 40 46 60 66 82 84 112 114 130 136 150 156 186 196	-381342976024
SPT(16)	1058102319864884927	0 2 14 44 90 92 224 230 276 282 414 416 462 492 504 506	-210610429014
STPT(10)	1058102459786989817	0 2 30 32 72 74 114 116 144 146	-70688324124
SPT(16)	1058102496475921123	0 34 54 58 90 96 120 126 148 154 178 184 216 220 240 274	-33999392818
TPT(14)	1058102631454553849	0 2 108 110 168 170 288 290 360 362 378 380 420 422	100979239908
STPT(10)	1058102788244360387	0 2 42 44 72 74 102 104 144 146	257769046446
SPT(16)	1058102904381738799	0 28 30 48 58 64 78 114 154 190 204 210 220 238 240 268	373906424858
SPT(16)	1058103124564311593	0 60 66 80 84 104 150 158 216 224 270 290 294 308 314 374	594088997652
STPT(10)	1058103164261356427	0 2 30 32 42 44 54 56 84 86	633786042486