Prime p₀= 1178415511175021981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 76 2 10 2 10 2 16 2 76 2 (?)
a_n: 0 2 78 80 156 158 168 170 180 182 198 200 276 278
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: 278
Found by: [SG-FC] hl
db: batch=77, k=14, 76 76 10 10 16 76

STPT(10)	1178413650988869467	0 2 42 44 72 74 102 104 144 146	-1860186152514
SPT(16)	1178414056024779319	0 4 28 40 70 72 88 100 102 114 130 132 162 174 198 202	-1455150242662
STPT(10)	1178414226980393717	0 2 30 32 72 74 114 116 144 146	-1284194628264
SPT(16)	1178414864554237417	0 34 64 84 100 112 120 154 162 196 204 216 232 252 282 316	-646620784564
SPT(16)	1178415053262548207	0 30 44 56 66 86 140 144 302 306 360 380 390 402 416 446	-457912473774
SPT(16)	1178415195416190817	0 30 42 46 94 96 106 150 226 270 280 282 330 334 346 376	-315758831164
TPT(14)	1178415579020096609	0 2 78 80 162 164 192 194 258 260 318 320 330 332	67845074628
TPT(14)	1178415743774350691	0 2 78 80 120 122 150 152 210 212 240 242 288 290	232599328710
TPT(14)	1178415934165211429	0 2 30 32 162 164 270 272 282 284 288 290 372 374	422990189448
SPT(18)	1178416457808855371	0 56 60 80 86 98 116 140 152 156 168 192 210 222 228 248 252 308	946633833390
STPT(10)	1178416723798950869	0 2 48 50 60 62 72 74 120 122	1212623928888