Prime p₀= 1864850922157787909 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 22 2 4 2 148 2 22 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 228 230 252 254
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: 254
Found by: arkiss
db: batch=79, k=14, 40 4 22 4 148 22

TPT(14)	1864849156062977549	0 2 48 50 132 134 150 152 180 182 258 260 372 374	-1766094810360
STPT(10)	1864849227006438719	0 2 12 14 90 92 168 170 180 182	-1695151349190
STPT(10)	1864849443218402099	0 2 18 20 30 32 42 44 60 62	-1478939385810
SPT(16)	1864849953410497189	0 10 24 34 58 64 90 114 118 142 168 174 198 208 222 232	-968747290720
SPT(16)	1864850409878289971	0 12 56 62 92 96 126 132 140 146 176 180 210 216 260 272	-512279497938
SPT(16)	1864850921354146133	0 14 38 78 80 84 114 140 198 224 254 258 260 300 324 338	-803641776
SPT(20)	1864851143250451091	0 30 32 66 92 98 116 126 206 228 260 282 362 372 390 396 422 456 458 488	221092663182
TPT(14)	1864851201913041239	0 2 78 80 120 122 240 242 258 260 282 284 372 374	279755253330
SPT(16)	1864851316153539319	0 30 40 58 90 112 138 160 162 184 210 232 264 282 292 322	393995751410
SPT(16)	1864851815884293601	0 10 16 46 52 82 232 250 252 270 420 450 456 486 492 502	893726505692
SPT(16)	1864852004413266269	0 38 92 218 234 300 344 378 584 618 662 728 744 870 924 962	1082255478360