Prime p₀= 2071678953297400751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 70 2 88 2 16 2 22 2 (?)
a_n: 0 2 66 68 96 98 168 170 258 260 276 278 300 302
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: 302
Found by: ChUcK
db: batch=80, k=14, 64 28 70 88 16 22

SPT(16)	2071676767794311611	0 52 112 126 136 190 192 222 250 280 282 336 346 360 420 472	-2185503089140
SPT(16)	2071676797670852387	0 54 56 72 74 92 110 144 152 186 204 222 224 240 242 296	-2155626548364
STPT(10)	2071677569117999387	0 2 30 32 42 44 54 56 84 86	-1384179401364
TPT(14)	2071678079141764529	0 2 42 44 78 80 132 134 228 230 270 272 372 374	-874155636222
STPT(10)	2071678533459777839	0 2 18 20 60 62 102 104 120 122	-419837622912
SPT(16)	2071678629103865519	0 24 50 128 132 150 162 168 254 260 272 290 294 372 398 422	-324193535232
SPT(16)	2071679843932172603	0 6 26 56 68 90 120 134 180 194 224 246 258 288 308 314	890634771852
STPT(10)	2071680489203246417	0 2 60 62 72 74 84 86 144 146	1535905845666
STPT(10)	2071681009591728707	0 2 42 44 72 74 102 104 144 146	2056294327956
STPT(10)	2071682107341754949	0 2 18 20 30 32 42 44 60 62	3154044354198
STPT(10)	2071682342562892517	0 2 12 14 132 134 252 254 264 266	3389265491766