Prime p₀= 2149072299181312781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 82 2 94 2 58 2 22 2 46 2 (?)
a_n: 0 2 66 68 150 152 246 248 306 308 330 332 378 380
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: 380
Found by: JayPi
db: batch=81, k=14, 64 82 94 58 22 46

SPT(16)	2149070828980670233	0 4 18 30 36 46 58 88 126 156 168 178 184 196 210 214	-1470200642548
STPT(10)	2149070934365351537	0 2 30 32 72 74 114 116 144 146	-1364815961244
STPT(10)	2149071420246748937	0 2 30 32 60 62 90 92 120 122	-878934563844
TPT(14)	2149071618942961961	0 2 78 80 120 122 150 152 180 182 288 290 318 320	-680238350820
STPT(10)	2149072016084277041	0 2 6 8 18 20 30 32 36 38	-283097035740
SPT(16)	2149072202073155669	0 14 38 60 62 72 102 140 192 230 260 270 272 294 318 332	-97108157112
SPT(20)	2149072507415031689	0 24 38 72 108 122 150 182 228 282 320 374 420 452 480 494 530 564 578 602	208233718908
SPT(16)	2149072727224453127	0 14 30 66 74 102 144 216 290 362 404 432 440 476 492 506	428043140346
SPT(16)	2149072865617457809	0 18 24 42 58 78 94 130 252 288 304 324 340 358 364 382	566436145028
STPT(10)	2149072880715610649	0 2 48 50 60 62 72 74 120 122	581534297868
STPT(12)	2149073162841354641	0 2 36 38 48 50 78 80 90 92 126 128	863660041860