Prime p₀= 1012093426642198319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 22 2 28 2 28 2 46 2 (?)
a_n: 0 2 12 14 18 20 42 44 72 74 102 104 150 152
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: 152
Found by: Spectrum
db: batch=76, k=14, 10 4 22 28 28 46

STPT(10)	1012092702782981471	0 2 36 38 78 80 120 122 156 158	-723859216848
SPT(16)	1012092758223301589	0 8 38 74 92 128 132 134 198 200 204 240 258 294 324 332	-668418896730
SPT(16)	1012093122900798461	0 48 110 120 146 152 176 188 210 222 246 252 278 288 350 398	-303741399858
STPT(10)	1012093150592222549	0 2 48 50 90 92 132 134 180 182	-276049975770
SPT(16)	1012093371474379877	0 20 56 74 132 140 144 152 204 212 216 224 282 300 336 356	-55167818442
SPT(16)	1012093422505349477	0 30 72 74 80 86 156 206 300 350 420 426 432 434 476 506	-4136848842
STPT(10)	1012093470336756107	0 2 24 26 42 44 60 62 84 86	43694557788
SPT(16)	1012093873780820321	0 12 30 36 56 86 110 116 162 168 192 222 242 248 266 278	447138622002
SPT(16)	1012094481047521961	0 12 20 26 36 42 62 92 96 126 146 152 162 168 176 188	1054405323642
STPT(10)	1012094733690375791	0 2 30 32 120 122 210 212 240 242	1307048177472
SPT(16)	1012094748528335167	0 12 40 66 90 114 124 154 222 252 262 286 310 336 364 376	1321886136848