Prime p₀= 2004249164395226081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 106 2 10 2 34 2 22 2 (?)
a_n: 0 2 48 50 60 62 168 170 180 182 216 218 240 242
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: 242
Found by: Dingo
db: batch=80, k=14, 46 10 106 10 34 22

SPT(16)	2004247901832862981	0 40 58 70 78 88 102 126 142 166 180 190 198 210 228 268	-1262562363100
STPT(10)	2004248215206063569	0 2 78 80 120 122 162 164 240 242	-949189162512
SPT(16)	2004248244998392391	0 6 18 56 92 122 150 176 192 218 246 276 312 350 362 368	-919396833690
SPT(16)	2004248615531619601	0 18 30 40 46 58 88 106 162 180 210 222 228 238 250 268	-548863606480
SPT(18)	2004248805547684207	0 24 46 94 102 114 150 184 196 210 222 256 292 304 312 360 382 406	-358847541874
STPT(10)	2004249036197417897	0 2 30 32 42 44 54 56 84 86	-128197808184
SPT(16)	2004249360165630241	0 28 46 76 108 112 138 186 202 250 276 280 312 342 360 388	195770404160
STPT(10)	2004249794330884349	0 2 18 20 30 32 42 44 60 62	629935658268
STPT(10)	2004249836536290521	0 2 6 8 48 50 90 92 96 98	672141064440
SPT(16)	2004249841234385959	0 4 34 48 60 84 90 114 184 208 214 238 250 264 294 298	676839159878
STPT(10)	2004249872356849301	0 2 30 32 60 62 90 92 120 122	707961623220