Prime p₀= 1069395068300408207 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 190 2 88 2 208 2 34 2 28 2 (?)
a_n: 0 2 12 14 204 206 294 296 504 506 540 542 570 572
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: 572
Found by: Fardringle
db: batch=76, k=14, 10 190 88 208 34 28

STPT(10)	1069393774595403041	0 2 36 38 78 80 120 122 156 158	-1293705005166
SPT(16)	1069393970857463129	0 50 54 68 90 92 114 132 140 158 180 182 204 218 222 272	-1097442945078
STPT(10)	1069394047376061761	0 2 6 8 48 50 90 92 96 98	-1020924346446
STPT(10)	1069394064188496227	0 2 30 32 42 44 54 56 84 86	-1004111911980
SPT(16)	1069394103589783691	0 12 20 42 48 68 110 122 156 168 210 230 236 258 266 278	-964710624516
SPT(16)	1069394172728594021	0 26 66 86 116 126 128 140 168 180 182 192 222 242 282 308	-895571814186
STPT(10)	1069395115694876051	0 2 6 8 48 50 90 92 96 98	47394467844
STPT(10)	1069395289079566817	0 2 30 32 42 44 54 56 84 86	220779158610
SPT(16)	1069395562567043237	0 26 80 114 122 140 170 180 236 246 276 294 302 336 390 416	494266635030
SPT(16)	1069395769655274881	0 26 50 72 86 96 108 120 128 140 152 162 176 198 222 248	701354866674
STPT(10)	1069395919510518779	0 2 48 50 90 92 132 134 180 182	851210110572