Prime p₀= 928055107504065221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 10 2 58 2 70 2 124 2 (?)
a_n: 0 2 30 32 156 158 168 170 228 230 300 302 426 428
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: 428
Found by: Theadalus
db: batch=76, k=14, 28 124 10 58 70 124

SPT(16)	928053537557001521	0 8 32 92 110 150 162 206 222 266 278 318 336 396 420 428	-1569947063700
SPT(16)	928053593691656251	0 18 22 46 70 72 88 100 108 120 136 138 162 186 190 208	-1513812408970
STPT(10)	928053865169412869	0 2 18 20 30 32 42 44 60 62	-1242334652352
SPT(16)	928053980099314487	0 2 24 30 66 90 144 156 200 212 266 290 326 332 354 356	-1127404750734
STPT(10)	928054124113315007	0 2 54 56 72 74 90 92 144 146	-983390750214
SPT(16)	928054127969377963	0 28 94 124 178 186 190 196 288 294 298 306 360 390 456 484	-979534687258
SPT(18)	928055388843663149	0 2 14 20 32 38 42 54 80 132 158 170 174 180 192 198 210 212	281339597928
TPT(14)	928055421817641539	0 2 42 44 48 50 78 80 162 164 270 272 312 314	314313576318
STPT(10)	928055593309218947	0 2 24 26 42 44 60 62 84 86	485805153726
SPT(16)	928055594717210017	0 76 90 94 114 154 160 172 174 186 192 232 252 256 270 346	487213144796
SPT(16)	928055750635829203	0 36 40 90 100 120 124 126 154 156 160 180 190 240 244 280	643131763982