Prime p₀= 230666047819476977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 58 2 4 2 112 2 4 2 22 2 (?)
a_n: 0 2 54 56 114 116 120 122 234 236 240 242 264 266
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: 266
Found by: vinn@[CNT]
db: batch=69, k=14, 52 58 4 112 4 22

SPT(14)	230665999504576169	0 8 50 74 78 132 144 248 260 314 318 342 384 392	-48314900808
SPT(14)	230666004658865443	0 6 28 30 48 76 78 106 108 136 154 156 178 184	-43160611534
SPT(14)	230666017351972003	0 48 60 88 90 106 118 126 138 154 156 184 196 244	-30467504974
SPT(14)	230666026509108889	0 10 24 58 90 124 132 160 168 202 234 268 282 292	-21310368088
STPT(10)	230666039335263419	0 2 18 20 30 32 42 44 60 62	-8484213558
SPT(14)	230666046627076787	0 20 26 30 62 80 96 140 156 174 206 210 216 236	-1192400190
SPT(14)	230666048222851663	0 24 30 60 76 108 114 130 136 168 184 214 220 244	403374686
TPT(12)	230666074386658277	0 2 24 26 42 44 162 164 222 224 252 254	26567181300
TPT(12)	230666084573748539	0 2 42 44 48 50 60 62 102 104 132 134	36754271562
SPT(14)	230666088369751217	0 14 30 36 42 66 80 126 140 164 170 176 192 206	40550274240
TPT(12)	230666099365789781	0 2 78 80 126 128 210 212 246 248 348 350	51546312804