Prime p₀= 944025224015143649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 28 2 10 2 40 2 34 2 (?)
a_n: 0 2 12 14 78 80 108 110 120 122 162 164 198 200
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: 200
Found by: stoneageman
db: batch=76, k=14, 10 64 28 10 40 34

SPT(16)	944023477205886829	0 30 78 90 118 120 124 160 162 198 202 204 232 244 292 322	-1746809256820
TPT(14)	944023819479265871	0 2 36 38 66 68 90 92 216 218 348 350 360 362	-1404535877778
SPT(16)	944024007536211703	0 24 34 48 90 124 150 166 168 184 210 244 286 300 310 334	-1216478931946
SPT(16)	944024467354199549	0 42 44 68 84 104 110 134 168 192 198 218 234 258 260 302	-756660944100
STPT(10)	944024887121611577	0 2 60 62 72 74 84 86 144 146	-336893532072
STPT(10)	944025193082025881	0 2 30 32 78 80 126 128 156 158	-30933117768
SPT(16)	944025676239679009	0 12 34 40 58 70 72 82 120 130 132 144 162 168 190 202	452224535360
SPT(16)	944025803583562597	0 42 46 60 72 76 84 102 214 232 240 244 256 270 274 316	579568418948
SPT(16)	944026004154263057	0 2 20 42 80 86 122 146 216 240 276 282 320 342 360 362	780139119408
STPT(10)	944026008135768557	0 2 24 26 42 44 60 62 84 86	784120624908
SPT(16)	944026386475952341	0 28 52 60 100 106 126 156 352 382 402 408 448 456 480 508	1162460808692