Prime p₀= 2124579546976238249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 10 2 4 2 148 2 (?)
a_n: 0 2 18 20 42 44 60 62 72 74 78 80 228 230
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: 230
Found by: Time_Traveler
db: batch=80, k=14, 16 22 16 10 4 148

TPT(14)	2124578118837994217	0 2 24 26 30 32 180 182 192 194 234 236 360 362	-1428138244032
STPT(10)	2124578423450496197	0 2 30 32 162 164 294 296 324 326	-1123525742052
SPT(16)	2124578781767023199	0 38 48 60 80 90 98 102 128 132 140 150 170 182 192 230	-765209215050
STPT(10)	2124578787766767359	0 2 18 20 30 32 42 44 60 62	-759209470890
TPT(14)	2124579191956056131	0 2 36 38 90 92 126 128 156 158 228 230 240 242	-355020182118
SPT(16)	2124579307510234933	0 18 30 78 100 114 124 130 138 144 154 168 190 238 250 268	-239466003316
SPT(16)	2124579873734885383	0 6 40 70 84 90 166 180 190 204 280 286 300 330 364 370	326758647134
SPT(16)	2124579941962156387	0 22 52 60 112 126 132 144 262 274 280 294 346 354 384 406	394985918138
SPT(16)	2124579970599644269	0 10 34 40 88 130 154 160 222 228 252 294 342 348 372 382	423623406020
SPT(16)	2124580933131410213	0 38 108 120 146 150 168 176 180 188 206 210 236 248 318 356	1386155171964
TPT(14)	2124580997666597441	0 2 30 32 96 98 168 170 270 272 306 308 360 362	1450690359192