Prime p₀= 865702582351965431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 70 2 16 2 40 2 88 2 4 2 (?)
a_n: 0 2 78 80 150 152 168 170 210 212 300 302 306 308
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: 308
Found by: arkiss
db: batch=73, k=14, 76 70 16 40 88 4

TPT(14)	865701238454801339	0 2 42 44 48 50 132 134 138 140 258 260 372 374	-1343897164092
TPT(14)	865701250802867231	0 2 30 32 96 98 186 188 210 212 216 218 228 230	-1331549098200
SPT(16)	865701643590232873	0 28 34 36 46 76 90 100 144 154 168 198 208 210 216 244	-938761732558
SPT(16)	865701644803255087	0 34 46 60 64 94 130 156 190 216 252 282 286 300 312 346	-937548710344
SPT(16)	865701801145609849	0 24 42 144 168 172 220 288 364 432 480 484 508 610 628 652	-781206355582
TPT(14)	865702560228407789	0 2 30 32 42 44 192 194 240 242 252 254 270 272	-22123557642
SPT(16)	865702984936688693	0 6 36 54 98 110 114 146 168 200 204 216 260 278 308 314	402584723262
SPT(16)	865703077556016901	0 22 40 76 82 90 102 106 192 196 208 216 222 258 276 298	495204051470
STPT(10)	865703332587013967	0 2 54 56 72 74 90 92 144 146	750235048536
STPT(10)	865703364760698647	0 2 30 32 42 44 54 56 84 86	782408733216
STPT(10)	865703691795497879	0 2 18 20 30 32 42 44 60 62	1109443532448