Prime p₀= 2737458730241323769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 148 2 28 2 28 2 10 2 (?)
a_n: 0 2 42 44 48 50 198 200 228 230 258 260 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 40 4 148 28 28 10

SPT(16)	2737457401779040597	0 30 34 46 52 66 70 96 130 156 160 174 180 192 196 226	-1328462283172
STPT(10)	2737457616462383291	0 2 36 38 78 80 120 122 156 158	-1113778940478
STPT(10)	2737457695167144119	0 2 18 20 30 32 42 44 60 62	-1035074179650
STPT(10)	2737457817272601131	0 2 36 38 78 80 120 122 156 158	-912968722638
STPT(10)	2737457881448883707	0 2 30 32 102 104 174 176 204 206	-848792440062
SPT(16)	2737458653793099661	0 6 18 40 46 102 120 132 166 178 196 252 258 280 292 298	-76448224108
SPT(18)	2737458763457582743	0 10 66 120 126 138 148 174 186 238 250 276 286 298 304 358 414 424	33216258974
SPT(16)	2737458779029346089	0 22 40 64 102 148 208 210 352 354 414 460 498 522 540 562	48788022320
SPT(16)	2737458822568162697	0 6 14 56 60 110 134 140 300 306 330 380 384 426 434 440	92326838928
SPT(13)	2737459106090367557	0 30 72 84 120 150 162 174 204 240 252 294 324	375849043788
SPT(16)	2737459331626823861	0 12 30 56 72 92 122 128 150 156 186 206 222 248 266 278	601385500092