Prime p₀= 1051398426816019019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 22 2 238 2 16 2 106 2 100 2 (?)
a_n: 0 2 108 110 132 134 372 374 390 392 498 500 600 602
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: 602
Found by: stoneageman
db: batch=76, k=14, 106 22 238 16 106 100

SPT(16)	1051397388485629243	0 28 58 60 78 120 130 144 154 168 178 220 238 240 270 298	-1038330389776
SPT(16)	1051397596414334297	0 14 20 36 42 60 66 90 116 140 146 164 170 186 192 206	-830401684722
STPT(10)	1051397728389949007	0 2 12 14 42 44 72 74 84 86	-698426070012
STPT(10)	1051398000974276741	0 2 30 32 60 62 90 92 120 122	-425841742278
SPT(16)	1051398015311935397	0 14 32 56 66 80 120 182 204 266 306 320 330 354 372 386	-411504083622
SPT(16)	1051398359737698617	0 32 36 66 74 84 170 176 270 276 362 372 380 410 414 446	-67078320402
STPT(10)	1051398438320149721	0 2 6 8 48 50 90 92 96 98	11504130702
SPT(16)	1051399705253117263	0 60 154 168 180 184 198 214 234 250 264 268 280 294 388 448	1278437098244
SPT(16)	1051399822569356549	0 24 44 50 72 92 120 134 198 212 240 260 282 288 308 332	1395753337530
SPT(16)	1051399909382757397	0 16 24 30 40 72 84 94 102 112 124 156 166 172 180 196	1482566738378
SPT(16)	1051400120069751467	0 32 36 66 72 110 114 116 120 122 126 164 170 200 204 236	1693253732448