Prime p₀= 1106334392343442679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 70 2 4 2 88 2 28 2 (?)
a_n: 0 2 30 32 60 62 132 134 138 140 228 230 258 260
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: 260
Found by: Skivelitis2
db: batch=76, k=14, 28 28 70 4 88 28

SPT(16)	1106332832840083399	0 12 24 28 40 42 48 82 180 214 220 222 234 238 250 262	-1559503359280
STPT(10)	1106332836202352651	0 2 6 8 48 50 90 92 96 98	-1556141090028
SPT(16)	1106333250691470601	0 10 48 52 106 130 192 268 330 406 468 492 546 550 588 598	-1141651972078
SPT(16)	1106333372169468161	0 8 38 42 50 56 78 102 116 140 162 168 176 180 210 218	-1020173974518
STPT(10)	1106333515355687417	0 2 30 32 42 44 54 56 84 86	-876987755262
SPT(16)	1106333959534251743	0 14 36 50 60 80 140 150 170 180 240 260 270 284 306 320	-432809190936
TPT(14)	1106334598930023521	0 2 90 92 120 122 156 158 168 170 198 200 258 260	206586580842
SPT(16)	1106334644308588103	0 8 14 50 56 84 110 156 188 234 260 288 294 330 336 344	251965145424
STPT(10)	1106334802915680587	0 2 60 62 72 74 84 86 144 146	410572237908
SPT(16)	1106334883978718707	0 22 36 42 60 66 106 120 196 210 250 256 274 280 294 316	491635276028
STPT(10)	1106334938912497139	0 2 18 20 30 32 42 44 60 62	546569054460