Prime p₀= 2628079461205572917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 28 2 46 2 58 2 10 2 (?)
a_n: 0 2 30 32 102 104 132 134 180 182 240 242 252 254
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: 254
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 28 70 28 46 58 10

STPT(10)	2628078636713348081	0 2 6 8 48 50 90 92 96 98	-824492224836
SPT(16)	2628078723622667303	0 18 24 50 84 86 120 134 150 164 198 200 234 260 266 284	-737582905614
SPT(16)	2628078823835300351	0 20 36 42 48 50 120 138 140 158 228 230 236 242 258 278	-637370272566
SPT(16)	2628078941858945461	0 18 22 28 60 78 112 118 132 138 172 190 222 228 232 250	-519346627456
SPT(16)	2628079070311097761	0 18 28 30 40 42 52 102 106 156 166 168 178 180 190 208	-390894475156
SPT(16)	2628079403656083031	0 6 28 30 46 72 118 120 208 210 256 282 298 300 322 328	-57549489886
STPT(10)	2628079462973909447	0 2 24 26 42 44 60 62 84 86	1768336530
STPT(10)	2628079636459424429	0 2 18 20 60 62 102 104 120 122	175253851512
SPT(16)	2628080572330997071	0 28 46 78 100 120 138 148 228 238 256 276 298 330 348 376	1111125424154
SPT(16)	2628080586646830589	0 4 52 54 70 72 84 162 172 250 262 264 280 282 330 334	1125441257672
TPT(14)	2628080652931415639	0 2 12 14 42 44 60 62 72 74 138 140 198 200	1191725842722