Prime p₀= 745726128408076259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 82 2 46 2 10 2 28 2 46 2 (?)
a_n: 0 2 78 80 162 164 210 212 222 224 252 254 300 302
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: 302
Found by: Theadalus
db: batch=73, k=14, 76 82 46 10 28 46

SPT(13)	745723971870091583	0 18 36 48 108 150 168 186 228 288 300 318 336	-2156537984676
SPT(18)	745724690545891201	0 10 28 46 48 70 82 112 132 166 186 216 228 250 252 270 288 298	-1437862185058
SPT(16)	745725096276774049	0 42 94 102 120 130 154 190 192 228 252 262 280 288 340 382	-1032131302210
SPT(16)	745725211444743139	0 4 10 22 30 42 52 84 88 120 130 142 150 162 168 172	-916963333120
STPT(10)	745725434083545437	0 2 30 32 42 44 54 56 84 86	-694324530822
SPT(16)	745725607521291437	0 6 20 24 32 56 74 96 110 132 150 174 182 186 200 206	-520886784822
STPT(10)	745726260256591709	0 2 18 20 30 32 42 44 60 62	131848515450
SPT(16)	745726424433527041	0 10 30 52 70 88 102 112 126 136 150 168 186 208 228 238	296025450782
SPT(18)	745726445065097473	0 40 84 94 118 120 168 204 234 274 304 340 388 390 414 424 468 508	316657021214
STPT(10)	745726560214192547	0 2 12 14 42 44 72 74 84 86	431806116288
SPT(16)	745727034489594151	0 30 42 70 108 120 142 148 150 156 178 190 228 256 268 298	906081517892