Prime p₀= 1058101142812725239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 22 2 16 2 40 2 4 2 (?)
a_n: 0 2 18 20 48 50 72 74 90 92 132 134 138 140
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: 140
Found by: Theadalus
db: batch=76, k=14, 16 28 22 16 40 4

SPT(16)	1058100327811067117	0 2 12 114 126 134 152 162 224 234 252 260 272 374 384 386	-815001658122
STPT(10)	1058100447844936619	0 2 12 14 30 32 48 50 60 62	-694967788620
SPT(16)	1058100493011029177	0 2 6 30 72 110 140 222 224 306 336 374 416 440 444 446	-649801696062
SPT(16)	1058100549258454379	0 2 20 30 38 42 72 90 122 140 170 174 182 192 210 212	-593554270860
SPT(16)	1058101022551176911	0 48 68 80 116 132 158 168 170 180 206 222 258 270 290 338	-120261548328
SPT(16)	1058101132946149459	0 10 30 84 88 100 114 160 192 238 252 264 268 322 342 352	-9866575780
SPT(18)	1058101430174130791	0 8 12 86 98 102 158 186 206 282 302 330 386 390 402 476 480 488	287361405552
SPT(16)	1058102149132337917	0 10 40 46 60 66 82 84 112 114 130 136 150 156 186 196	1006319612678
SPT(16)	1058102319864884927	0 2 14 44 90 92 224 230 276 282 414 416 462 492 504 506	1177052159688
STPT(10)	1058102459786989817	0 2 30 32 72 74 114 116 144 146	1316974264578
SPT(16)	1058102496475921123	0 34 54 58 90 96 120 126 148 154 178 184 216 220 240 274	1353663195884