Prime p₀= 1078228195154193929 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 88 2 28 2 40 2 208 2 4 2 (?)
a_n: 0 2 60 62 150 152 180 182 222 224 432 434 438 440
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: 440
Found by: stoneageman
db: batch=76, k=14, 58 88 28 40 208 4

SPT(16)	1078227329206685089	0 54 102 148 168 202 264 280 312 328 390 424 444 490 538 592	-865947508840
STPT(10)	1078227822056112779	0 2 42 44 60 62 78 80 120 122	-373098081150
TPT(14)	1078227875435310419	0 2 42 44 78 80 108 110 138 140 162 164 180 182	-319718883510
SPT(16)	1078227913086188863	0 4 10 18 60 66 78 84 190 196 208 214 256 264 270 274	-282068005066
SPT(16)	1078228036046909779	0 22 30 40 58 78 108 114 118 124 154 174 192 202 210 232	-159107284150
SPT(16)	1078228103391714841	0 16 60 70 76 112 118 126 172 180 186 222 228 238 282 298	-91762479088
STPT(10)	1078228355859746711	0 2 6 8 48 50 90 92 96 98	160705552782
SPT(16)	1078228463443623799	0 30 40 52 88 118 154 168 184 198 234 264 300 312 322 352	268289429870
STPT(10)	1078228848786049949	0 2 18 20 30 32 42 44 60 62	653631856020
STPT(10)	1078228866108642707	0 2 30 32 42 44 54 56 84 86	670954448778
STPT(10)	1078229072684065229	0 2 12 14 90 92 168 170 180 182	877529871300