Prime p₀= 1072002245257353857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 100 2 46 2 40 2 16 2 10 2 (?)
a_n: 0 2 42 44 144 146 192 194 234 236 252 254 264 266
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: 266
Found by: Theadalus
db: batch=76, k=14, 40 100 46 40 16 10

SPT(16)	1072001031586732381	0 18 52 66 72 82 88 96 142 150 156 166 172 186 220 238	-1213670621476
SPT(16)	1072001254197967271	0 38 72 80 90 92 98 128 132 162 168 170 180 188 222 260	-991059386586
STPT(10)	1072001643210682799	0 2 18 20 30 32 42 44 60 62	-602046671058
STPT(10)	1072001747831152049	0 2 18 20 30 32 42 44 60 62	-497426201808
STPT(10)	1072001998522942301	0 2 126 128 138 140 150 152 276 278	-246734411556
STPT(10)	1072002167885725169	0 2 30 32 60 62 90 92 120 122	-77371628688
SPT(16)	1072002312492338987	0 2 30 84 86 116 144 156 200 212 240 270 272 326 354 356	67234985130
STPT(10)	1072002755973173597	0 2 42 44 72 74 102 104 144 146	510715819740
TPT(14)	1072002903836180579	0 2 90 92 132 134 168 170 228 230 312 314 432 434	658578826722
SPT(13)	1072003129066451389	0 42 90 120 150 162 192 222 234 264 294 342 384	883809097532
TPT(14)	1072003489716782171	0 2 6 8 48 50 96 98 108 110 258 260 288 290	1244459428314