Prime p₀= 1122580077509201741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 22 2 64 2 58 2 22 2 (?)
a_n: 0 2 66 68 126 128 150 152 216 218 276 278 300 302
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: 302
Found by: Theadalus
db: batch=76, k=14, 64 58 22 64 58 22

SPT(16)	1122578431678669517	0 2 6 12 56 66 80 104 132 156 170 180 224 230 234 236	-1645830532224
SPT(16)	1122579101756420747	0 20 26 50 60 66 80 116 126 162 176 182 192 216 222 242	-975752780994
SPT(16)	1122579110688474011	0 18 26 48 56 96 108 140 276 308 320 360 368 390 398 416	-966820727730
SPT(16)	1122579178316699713	0 54 84 96 100 136 148 156 178 186 198 234 238 250 280 334	-899192502028
STPT(10)	1122580011575555081	0 2 6 8 48 50 90 92 96 98	-65933646660
STPT(10)	1122580033735404059	0 2 12 14 30 32 48 50 60 62	-43773797682
SPT(16)	1122580297335679729	0 18 22 60 70 78 94 112 120 138 154 162 172 210 214 232	219826477988
SPT(16)	1122580431798465127	0 22 34 46 52 64 82 112 144 174 192 204 210 222 234 256	354289263386
TPT(14)	1122580584033030557	0 2 12 14 42 44 114 116 180 182 240 242 294 296	506523828816
SPT(16)	1122580726141985009	0 32 42 60 92 102 110 128 144 162 170 180 212 230 240 272	648632783268
SPT(16)	1122580784978191849	0 22 120 148 154 162 192 204 268 280 310 318 324 352 450 472	707468990108