Prime p₀= 865702560228407789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 148 2 46 2 10 2 16 2 (?)
a_n: 0 2 30 32 42 44 192 194 240 242 252 254 270 272
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: arkiss
db: batch=73, k=14, 28 10 148 46 10 16

TPT(14)	865701223064280059	0 2 120 122 198 200 228 230 342 344 372 374 468 470	-1337164127730
TPT(14)	865701238454801339	0 2 42 44 48 50 132 134 138 140 258 260 372 374	-1321773606450
TPT(14)	865701250802867231	0 2 30 32 96 98 186 188 210 212 216 218 228 230	-1309425540558
SPT(16)	865701643590232873	0 28 34 36 46 76 90 100 144 154 168 198 208 210 216 244	-916638174916
SPT(16)	865701644803255087	0 34 46 60 64 94 130 156 190 216 252 282 286 300 312 346	-915425152702
SPT(16)	865701801145609849	0 24 42 144 168 172 220 288 364 432 480 484 508 610 628 652	-759082797940
TPT(14)	865702582351965431	0 2 78 80 150 152 168 170 210 212 300 302 306 308	22123557642
SPT(16)	865702984936688693	0 6 36 54 98 110 114 146 168 200 204 216 260 278 308 314	424708280904
SPT(16)	865703077556016901	0 22 40 76 82 90 102 106 192 196 208 216 222 258 276 298	517327609112
STPT(10)	865703332587013967	0 2 54 56 72 74 90 92 144 146	772358606178
STPT(10)	865703364760698647	0 2 30 32 42 44 54 56 84 86	804532290858