Prime p₀= 2040656421877371941 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 94 2 28 2 28 2 10 2 10 2 (?)
a_n: 0 2 30 32 126 128 156 158 186 188 198 200 210 212
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: 212
Found by: eclipse99
db: batch=80, k=14, 28 94 28 28 10 10

STPT(10)	2040655261401001541	0 2 6 8 18 20 30 32 36 38	-1160476370400
STPT(10)	2040655398091973849	0 2 18 20 30 32 42 44 60 62	-1023785398092
SPT(16)	2040655703847894247	0 22 64 66 70 72 100 126 130 156 184 186 190 192 234 256	-718029477694
SPT(16)	2040655953427386107	0 2 50 72 80 86 96 116 120 140 150 156 164 186 234 236	-468449985834
STPT(10)	2040656119904155067	0 2 12 14 42 44 72 74 84 86	-301973216874
STPT(10)	2040656363088328127	0 2 42 44 102 104 162 164 204 206	-58789043814
STPT(10)	2040656527191996269	0 2 48 50 90 92 132 134 180 182	105314624328
SPT(16)	2040656681768428487	0 30 74 80 86 92 102 114 122 134 144 150 156 162 206 236	259891056546
TPT(14)	2040656758605751607	0 2 24 26 60 62 144 146 180 182 294 296 312 314	336728379666
SPT(16)	2040656869618900259	0 44 90 104 114 140 158 174 224 240 258 284 294 308 354 398	447741528318
TPT(14)	2040656885139748619	0 2 18 20 30 32 42 44 78 80 162 164 168 170	463262376678