Prime p₀= 1058102631454553849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 58 2 118 2 70 2 16 2 40 2 (?)
a_n: 0 2 108 110 168 170 288 290 360 362 378 380 420 422
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 422
Found by: Theadalus
db: batch=76, k=14, 106 58 118 70 16 40

SPT(18)	1058101430174130791	0 8 12 86 98 102 158 186 206 282 302 330 386 390 402 476 480 488	-1201280423058
SPT(16)	1058102149132337917	0 10 40 46 60 66 82 84 112 114 130 136 150 156 186 196	-482322215932
SPT(16)	1058102319864884927	0 2 14 44 90 92 224 230 276 282 414 416 462 492 504 506	-311589668922
STPT(10)	1058102459786989817	0 2 30 32 72 74 114 116 144 146	-171667564032
SPT(16)	1058102496475921123	0 34 54 58 90 96 120 126 148 154 178 184 216 220 240 274	-134978632726
TPT(18)	1058102530475313941	0 2 36 38 120 122 156 158 246 248 270 272 288 290 300 302 336 338	-100979239908
STPT(10)	1058102788244360387	0 2 42 44 72 74 102 104 144 146	156789806538
SPT(16)	1058102904381738799	0 28 30 48 58 64 78 114 154 190 204 210 220 238 240 268	272927184950
SPT(16)	1058103124564311593	0 60 66 80 84 104 150 158 216 224 270 290 294 308 314 374	493109757744
STPT(10)	1058103164261356427	0 2 30 32 42 44 54 56 84 86	532806802578
SPT(16)	1058103329742865799	0 8 50 68 72 92 110 128 204 222 240 260 264 282 324 332	698288311950