Prime p₀= 1258202567718910769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 58 2 4 2 40 2 40 2 (?)
a_n: 0 2 42 44 72 74 132 134 138 140 180 182 222 224
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: 224
Found by: biodoc
db: batch=77, k=14, 40 28 58 4 40 40

SPT(16)	1258201403359737167	0 14 44 56 86 90 132 156 200 224 266 270 300 312 342 356	-1164359173602
SPT(16)	1258201517339400091	0 12 30 40 52 90 100 118 132 150 160 198 210 220 238 250	-1050379510678
STPT(10)	1258201574045230481	0 2 6 8 18 20 30 32 36 38	-993673680288
SPT(16)	1258201913804219887	0 12 40 66 90 154 180 184 192 196 222 286 310 336 364 376	-653914690882
SPT(16)	1258202417522628967	0 30 34 42 60 72 100 112 174 186 214 226 244 252 256 286	-150196281802
SPT(16)	1258202499415445887	0 24 36 90 94 154 162 186 220 244 252 312 316 370 382 406	-68303464882
STPT(10)	1258202599614841721	0 2 36 38 78 80 120 122 156 158	31895930952
TPT(14)	1258202886864814769	0 2 72 74 168 170 222 224 258 260 378 380 462 464	319145904000
STPT(10)	1258203042291670919	0 2 120 122 210 212 300 302 420 422	474572760150
STPT(10)	1258203200886838571	0 2 30 32 78 80 126 128 156 158	633167927802
SPT(16)	1258203454544040989	0 8 14 48 54 62 90 108 134 152 180 188 194 228 234 242	886825130220