Prime p₀= 2992390366855997879 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 124 2 22 2 4 2 10 2 (?)
a_n: 0 2 30 32 102 104 228 230 252 254 258 260 270 272
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: 272
Found by: Roadranner
db: batch=82, k=14, 28 70 124 22 4 10

STPT(10)	2992387858467101399	0 2 42 44 90 92 138 140 180 182	-2508388896480
STPT(10)	2992388066813544569	0 2 42 44 60 62 78 80 120 122	-2300042453310
SPT(16)	2992388124283981529	0 2 8 12 14 32 72 74 78 80 120 138 140 144 150 152	-2242572016350
STPT(10)	2992388546036716361	0 2 6 8 108 110 210 212 216 218	-1820819281518
SPT(16)	2992390129572211243	0 10 24 94 100 108 124 156 208 240 256 264 270 340 354 364	-237283786636
SPT(16)	2992390329472794967	0 40 100 106 114 132 190 264 352 426 484 502 510 516 576 616	-37383202912
SPT(16)	2992390390828104163	0 28 30 94 100 106 150 184 210 244 288 294 300 364 366 394	23972106284
STPT(10)	2992390563572409359	0 2 42 44 90 92 138 140 180 182	196716411480
STPT(10)	2992390643944848647	0 2 54 56 72 74 90 92 144 146	277088850768
STPT(10)	2992390878584713127	0 2 30 32 42 44 54 56 84 86	511728715248
SPT(16)	2992391174624871011	0 12 72 98 108 116 126 152 156 182 192 200 210 236 296 308	807768873132