Prime p₀= 1912929140559188249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 112 2 16 2 76 2 10 2 16 2 (?)
a_n: 0 2 108 110 222 224 240 242 318 320 330 332 348 350
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: 350
Found by: Landjunge
db: batch=80, k=14, 106 112 16 76 10 16

SPT(16)	1912927351437488213	0 6 14 98 144 170 210 240 314 344 384 410 456 540 548 554	-1789121700036
STPT(10)	1912927376514599111	0 2 30 32 120 122 210 212 240 242	-1764044589138
STPT(10)	1912927447380286619	0 2 42 44 60 62 78 80 120 122	-1693178901630
SPT(16)	1912928618436674953	0 4 28 58 64 144 148 178 210 240 244 324 330 360 384 388	-522122513296
STPT(10)	1912929105875117219	0 2 162 164 180 182 198 200 360 362	-34684071030
SPT(16)	1912929105915230231	0 2 12 36 80 92 126 152 180 206 240 252 296 320 330 332	-34643958018
TPT(14)	1912929233510494289	0 2 72 74 138 140 198 200 210 212 228 230 252 254	92951306040
SPT(16)	1912929236638810571	0 42 48 56 86 98 102 110 228 236 240 252 282 290 296 338	96079622322
STPT(10)	1912929944878118609	0 2 42 44 60 62 78 80 120 122	804318930360
SPT(16)	1912929952826139911	0 68 72 80 96 98 108 152 156 200 210 212 228 236 240 308	812266951662
TPT(14)	1912930363772002109	0 2 12 14 42 44 78 80 108 110 162 164 168 170	1223212813860