Prime p₀= 1035038225939331071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 28 2 160 2 40 2 58 2 (?)
a_n: 0 2 6 8 66 68 96 98 258 260 300 302 360 362
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: 362
Found by: XAVER
db: batch=76, k=14, 4 58 28 160 40 58

STPT(10)	1035037665064216337	0 2 30 32 42 44 54 56 84 86	-560875114734
SPT(13)	1035037807887926137	0 12 102 114 144 192 252 312 360 390 402 492 504	-418051404934
SPT(16)	1035037846471966949	0 42 44 54 80 98 132 170 192 230 264 282 308 318 320 362	-379467364122
SPT(16)	1035038160727348429	0 40 54 70 78 120 138 150 208 220 238 280 288 304 318 358	-65211982642
STPT(10)	1035038189007978611	0 2 30 32 78 80 126 128 156 158	-36931352460
STPT(10)	1035038220812493179	0 2 18 20 60 62 102 104 120 122	-5126837892
SPT(16)	1035038410885425571	0 6 16 76 106 108 118 190 198 270 280 282 312 372 382 388	184946094500
TPT(14)	1035038469682897037	0 2 42 44 72 74 120 122 204 206 210 212 222 224	243743565966
SPT(16)	1035038654613437809	0 10 58 82 90 108 142 220 282 360 394 412 420 444 492 502	428674106738
SPT(16)	1035038865455457487	0 72 84 94 126 154 190 204 262 276 312 340 372 382 394 466	639516126416
SPT(16)	1035039168052434757	0 4 6 10 24 46 66 70 90 94 114 136 150 154 156 160	942113103686