Prime p₀= 1016042938265587157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 16 2 10 2 70 2 4 2 (?)
a_n: 0 2 90 92 102 104 120 122 132 134 204 206 210 212
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: 212
Found by: Theadalus
db: batch=76, k=14, 88 10 16 10 70 4

SPT(16)	1016041821051669911	0 38 42 48 170 200 230 266 342 378 408 438 560 566 570 608	-1117213917246
SPT(16)	1016042184577757437	0 52 90 162 190 192 256 294 322 360 424 426 454 526 564 616	-753687829720
STPT(10)	1016042468872157861	0 2 36 38 78 80 120 122 156 158	-469393429296
STPT(10)	1016042774183167349	0 2 48 50 90 92 132 134 180 182	-164082419808
STPT(10)	1016042857535239451	0 2 30 32 78 80 126 128 156 158	-80730347706
STPT(10)	1016042920233760631	0 2 36 38 78 80 120 122 156 158	-18031826526
STPT(10)	1016043195976530437	0 2 60 62 72 74 84 86 144 146	257710943280
STPT(10)	1016043431481259187	0 2 30 32 42 44 54 56 84 86	493215672030
STPT(10)	1016044236736089269	0 2 42 44 60 62 78 80 120 122	1298470502112
SPT(16)	1016044538106816497	0 6 12 26 42 66 96 102 110 116 146 170 186 200 206 212	1599841229340
SPT(16)	1016044562137943287	0 4 10 46 60 120 126 154 162 190 196 256 270 306 312 316	1623872356130