Prime p₀= 2564769410055633059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 58 2 94 2 40 2 28 2 (?)
a_n: 0 2 12 14 42 44 102 104 198 200 240 242 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 10 28 58 94 40 28

STPT(10)	2564768225056708997	0 2 42 44 72 74 102 104 144 146	-1184998924062
STPT(10)	2564768424855339047	0 2 90 92 102 104 114 116 204 206	-985200294012
SPT(16)	2564768798811063211	0 22 28 30 52 118 160 162 196 198 240 306 328 330 336 358	-611244569848
SPT(16)	2564768909409987737	0 2 56 62 72 86 114 132 164 182 210 224 234 240 294 296	-500645645322
SPT(16)	2564768931863702593	0 40 64 106 108 126 148 150 154 156 178 196 198 240 264 304	-478191930466
SPT(16)	2564769364941327221	0 18 56 90 96 108 110 146 192 228 230 242 248 282 320 338	-45114305838
STPT(10)	2564769635568128249	0 2 18 20 30 32 42 44 60 62	225512495190
STPT(10)	2564769808054184711	0 2 36 38 78 80 120 122 156 158	397998551652
STPT(10)	2564770101191552027	0 2 42 44 72 74 102 104 144 146	691135918968
STPT(10)	2564770150200041207	0 2 54 56 72 74 90 92 144 146	740144408148
SPT(16)	2564770339702274989	0 52 82 88 124 150 178 204 238 264 292 318 354 360 390 442	929646641930