Prime p₀= 1006080544461394229 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 10 2 28 2 106 2 40 2 (?)
a_n: 0 2 42 44 48 50 60 62 90 92 198 200 240 242
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: Theadalus
db: batch=76, k=14, 40 4 10 28 106 40

SPT(16)	1006079467693996159	0 60 70 84 94 144 162 172 192 202 220 270 280 294 304 364	-1076767398070
SPT(16)	1006079661673336097	0 12 14 42 80 84 92 102 134 144 152 156 194 222 224 236	-882788058132
SPT(16)	1006079753631205381	0 22 30 60 72 76 100 142 216 258 282 286 298 328 336 358	-790830188848
TPT(14)	1006079762074531979	0 2 18 20 90 92 240 242 282 284 312 314 330 332	-782386862250
SPT(16)	1006079767053669961	0 22 58 60 90 100 136 156 232 252 288 298 328 330 366 388	-777407724268
STPT(10)	1006080299954423567	0 2 30 32 42 44 54 56 84 86	-244506970662
STPT(10)	1006080618417344159	0 2 18 20 30 32 42 44 60 62	73955949930
SPT(16)	1006080786112617067	0 6 34 66 132 136 186 210 286 310 360 364 430 462 490 496	241651222838
SPT(16)	1006080952151911607	0 54 60 96 122 140 174 242 264 332 366 384 410 446 452 506	407690517378
SPT(16)	1006081152995518253	0 14 26 38 54 84 120 156 188 224 260 290 306 318 330 344	608534124024
STPT(10)	1006081688159294741	0 2 36 38 78 80 120 122 156 158	1143697900512