Prime p₀= 3035279672922431939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 136 2 52 2 16 2 70 2 28 2 (?)
a_n: 0 2 30 32 168 170 222 224 240 242 312 314 342 344
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: 344
Found by: JonS
db: batch=82, k=14, 28 136 52 16 70 28

TPT(14)	3035278356269575937	0 2 132 134 162 164 180 182 204 206 210 212 222 224	-1316652856002
STPT(10)	3035278662618534929	0 2 42 44 60 62 78 80 120 122	-1010303897010
SPT(16)	3035279253827271337	0 24 46 52 84 96 112 126 130 144 160 172 204 210 232 256	-419095160602
SPT(16)	3035279334696370607	0 26 80 86 110 140 170 224 252 306 336 366 390 396 450 476	-338226061332
SPT(16)	3035279503532027809	0 10 18 24 28 40 54 78 154 178 192 204 208 214 222 232	-169390404130
SPT(16)	3035279587761776461	0 12 18 52 66 82 88 96 142 150 156 172 186 220 226 238	-85160655478
STPT(10)	3035279731252955309	0 2 12 14 30 32 48 50 60 62	58330523370
SPT(16)	3035280103865575243	0 18 28 34 66 90 166 186 208 228 304 328 360 366 376 394	430943143304
STPT(10)	3035280432939467549	0 2 48 50 90 92 132 134 180 182	760017035610
SPT(16)	3035280459770080231	0 36 42 108 112 120 138 150 178 190 208 216 220 286 292 328	786847648292
STPT(10)	3035280509864594207	0 2 60 62 72 74 84 86 144 146	836942162268