Prime p₀= 2743757266548331547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 64 2 58 2 22 2 4 2 10 2 (?)
a_n: 0 2 24 26 90 92 150 152 174 176 180 182 192 194
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: 194
Found by: JayPi
db: batch=82, k=14, 22 64 58 22 4 10

SPT(16)	2743755261902065483	0 4 28 46 78 154 190 216 358 384 420 496 528 546 570 574	-2004646266064
SPT(16)	2743755739824995477	0 2 26 32 60 66 74 86 180 192 200 206 234 240 264 266	-1526723336070
SPT(16)	2743755960292613843	0 14 38 48 66 80 128 194 210 276 324 338 356 366 390 404	-1306255717704
SPT(16)	2743756353918717209	0 30 48 62 78 90 108 122 168 182 200 212 228 242 260 290	-912629614338
SPT(16)	2743757161631752069	0 12 18 42 48 60 70 72 100 102 112 124 130 154 160 172	-104916579478
SPT(16)	2743757249809507831	0 16 40 48 60 70 72 82 216 226 228 238 250 258 282 298	-16738823716
STPT(10)	2743757495446375097	0 2 30 32 42 44 54 56 84 86	228898043550
TPT(14)	2743757549569946879	0 2 210 212 222 224 228 230 258 260 312 314 342 344	283021615332
STPT(10)	2743757700775273121	0 2 36 38 78 80 120 122 156 158	434226941574
TPT(14)	2743758250865748437	0 2 102 104 270 272 360 362 390 392 462 464 474 476	984317416890
STPT(10)	2743758252409170179	0 2 30 32 120 122 210 212 240 242	985860838632