Prime p₀= 912475669044332021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 28 2 10 2 178 2 10 2 (?)
a_n: 0 2 30 32 156 158 186 188 198 200 378 380 390 392
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: 392
Found by: sorcrosc
db: batch=76, k=14, 28 124 28 10 178 10

SPT(18)	912474863264408177	0 24 60 66 74 144 152 186 206 210 230 264 272 342 350 356 392 416	-805779923844
SPT(16)	912474959211810067	0 24 90 100 112 126 160 166 210 216 250 264 276 286 352 376	-709832521954
SPT(16)	912475009336197497	0 12 36 56 60 72 86 116 180 210 224 236 240 260 284 296	-659708134524
TPT(14)	912475233036173249	0 2 42 44 78 80 252 254 258 260 300 302 312 314	-436008158772
SPT(16)	912475500538110329	0 2 18 32 42 72 98 122 150 174 200 230 240 254 270 272	-168506221692
STPT(10)	912475528118834357	0 2 60 62 72 74 84 86 144 146	-140925497664
SPT(16)	912475683065509271	0 42 78 90 98 120 128 146 282 300 308 330 338 350 386 428	14021177250
TPT(14)	912475691068967741	0 2 18 20 48 50 198 200 210 212 546 548 576 578	22024635720
STPT(10)	912475739695798247	0 2 12 14 72 74 132 134 144 146	70651466226
SPT(13)	912476096050806971	0 60 78 120 138 186 228 270 318 336 378 396 456	427006474950
SPT(16)	912476364028371853	0 16 34 40 46 76 78 96 148 166 168 198 204 210 228 244	694984039832