Prime p₀= 66651105468045911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 10 2 166 2 28 2 10 2 16 2 (?)
a_n: 0 2 126 128 138 140 306 308 336 338 348 350 366 368
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: cpuid
db: batch=67, k=14, 124 10 166 28 10 16

TPT(12)	66651000065955761	0 2 30 32 78 80 96 98 126 128 156 158	-105402090150
SPT(14)	66651017833244833	0 4 6 70 84 88 118 126 156 160 174 238 240 244	-87634801078
SPT(14)	66651032659656881	0 18 30 50 78 108 156 170 218 248 276 296 308 326	-72808389030
TPT(12)	66651032907811577	0 2 12 14 54 56 162 164 234 236 240 242	-72560234334
SPT(14)	66651033699335333	0 30 96 128 150 164 188 216 240 254 276 308 374 404	-71768710578
TPT(12)	66651071289935549	0 2 48 50 180 182 228 230 258 260 300 302	-34178110362
STPT(10)	66651109676491421	0 2 6 8 48 50 90 92 96 98	4208445510
SPT(14)	66651117938354951	0 8 18 30 56 72 78 80 86 102 128 140 150 158	12470309040
SPT(14)	66651129382953989	0 18 24 42 54 60 104 108 152 158 170 188 194 212	23914908078
TPT(12)	66651162506932769	0 2 42 44 78 80 132 134 150 152 258 260	57038886858
SPT(14)	66651171599798713	0 28 30 88 114 130 154 174 198 214 240 298 300 328	66131752802