Prime p₀= 2735541740204385911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 100 2 58 2 40 2 124 2 (?)
a_n: 0 2 30 32 36 38 138 140 198 200 240 242 366 368
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: 368
Found by: raddoc
db: batch=82, k=14, 28 4 100 58 40 124

SPT(16)	2735540885465882041	0 10 22 78 108 130 168 192 256 280 318 340 370 426 438 448	-854738503870
SPT(16)	2735540966192694721	0 18 102 162 178 228 292 358 360 426 490 540 556 616 700 718	-774011691190
STPT(10)	2735541057349347431	0 2 30 32 60 62 90 92 120 122	-682855038480
SPT(16)	2735541088850634373	0 36 46 124 130 154 180 190 204 214 240 264 270 348 358 394	-651353751538
STPT(10)	2735541235481133719	0 2 12 14 90 92 168 170 180 182	-504723252192
SPT(16)	2735541588812532089	0 14 18 44 50 78 98 104 228 234 254 282 288 314 318 332	-151391853822
STPT(10)	2735542172216416439	0 2 30 32 60 62 90 92 120 122	432012030528
SPT(16)	2735542256336045327	0 26 42 86 90 92 114 152 234 272 294 296 300 344 360 386	516131659416
SPT(16)	2735542699664071411	0 48 70 102 160 162 178 192 196 210 226 228 286 318 340 388	959459685500
TPT(14)	2735542755436137707	0 2 132 134 144 146 222 224 240 242 282 284 294 296	1015231751796
SPT(16)	2735542903786044887	0 6 12 36 56 62 80 122 150 192 210 216 236 260 266 272	1163581658976