Prime p₀= 1028449769631120899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 28 2 40 2 64 2 22 2 (?)
a_n: 0 2 12 14 30 32 60 62 102 104 168 170 192 194
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: 194
Found by: Theadalus
db: batch=76, k=14, 10 16 28 40 64 22

STPT(10)	1028447979795377759	0 2 48 50 60 62 72 74 120 122	-1789835743140
STPT(10)	1028448045710975711	0 2 6 8 48 50 90 92 96 98	-1723920145188
SPT(16)	1028448695747239183	0 6 36 40 54 58 70 120 124 174 186 190 204 208 238 244	-1073883881716
SPT(16)	1028449075128440957	0 54 96 134 146 162 164 176 180 192 194 210 222 260 302 356	-694502679942
STPT(10)	1028449159346095181	0 2 30 32 78 80 126 128 156 158	-610285025718
STPT(10)	1028449185445521839	0 2 18 20 30 32 42 44 60 62	-584185599060
SPT(16)	1028449907594011883	0 26 30 38 80 114 168 170 204 206 260 294 336 344 348 374	137962890984
STPT(12)	1028449954316614601	0 2 36 38 48 50 78 80 90 92 126 128	184685493702
SPT(16)	1028450102966035579	0 18 40 42 48 58 102 198 214 310 354 364 370 372 394 412	333334914680
TPT(14)	1028450230455093461	0 2 78 80 120 122 138 140 168 170 198 200 240 242	460823972562
TPT(14)	1028450381073621197	0 2 102 104 150 152 312 314 354 356 360 362 444 446	611442500298