Prime p₀= 2953651919747267939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 40 2 64 2 10 2 58 2 (?)
a_n: 0 2 72 74 90 92 132 134 198 200 210 212 270 272
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: 272
Found by: hase
db: batch=82, k=14, 70 16 40 64 10 58

SPT(16)	2953651071481205453	0 50 66 78 96 114 156 158 246 248 290 308 326 338 354 404	-848266062486
STPT(10)	2953651332648207869	0 2 18 20 30 32 42 44 60 62	-587099060070
SPT(16)	2953651493896564337	0 42 44 74 90 114 122 132 182 192 200 224 240 270 272 314	-425850703602
STPT(10)	2953651596142919129	0 2 42 44 150 152 258 260 300 302	-323604348810
SPT(16)	2953651791469543579	0 10 18 52 88 108 112 114 148 150 154 174 210 244 252 262	-128277724360
SPT(16)	2953651791837457177	0 12 24 42 46 64 102 120 136 154 192 210 214 232 244 256	-127909810762
SPT(16)	2953652364151874321	0 6 26 56 60 68 98 140 186 228 258 266 270 300 320 326	444404606382
STPT(10)	2953652668708174397	0 2 30 32 42 44 54 56 84 86	748960906458
STPT(10)	2953652821610542031	0 2 36 38 78 80 120 122 156 158	901863274092
SPT(16)	2953653223176699221	0 6 62 96 150 176 182 188 210 216 222 248 302 336 392 398	1303429431282
STPT(10)	2953653328809103931	0 2 6 8 48 50 90 92 96 98	1409061835992