Prime p₀= 1252098003982425209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 112 2 4 2 10 2 208 2 (?)
a_n: 0 2 42 44 78 80 192 194 198 200 210 212 420 422
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: 422
Found by: Cruncher Pete
db: batch=77, k=14, 40 34 112 4 10 208

SPT(18)	1252096932104457581	0 6 20 38 60 90 98 150 156 200 206 258 266 296 318 336 350 356	-1071877967628
SPT(16)	1252096935952118549	0 42 54 62 80 98 140 164 198 222 264 282 300 308 320 362	-1068030306660
SPT(16)	1252097176977682571	0 6 8 116 152 158 182 222 266 306 330 336 372 480 482 488	-827004742638
STPT(14)	1252097417731238129	0 2 18 20 42 44 60 62 78 80 102 104 120 122	-586251187080
TPT(14)	1252097417731238129	0 2 18 20 42 44 60 62 78 80 102 104 120 122	-586251187080
SPT(16)	1252097627807523947	0 24 36 50 62 102 116 120 296 300 314 354 366 380 392 416	-376174901262
STPT(10)	1252098698165085227	0 2 30 32 72 74 114 116 144 146	694182660018
SPT(16)	1252098780391462769	0 12 42 54 80 84 120 134 138 152 188 192 218 230 260 272	776409037560
STPT(10)	1252098841193546417	0 2 30 32 42 44 54 56 84 86	837211121208
SPT(16)	1252100107592762737	0 4 12 30 46 60 72 102 124 154 166 180 196 214 222 226	2103610337528
STPT(10)	1252100307505294601	0 2 6 8 48 50 90 92 96 98	2303522869392