Prime p₀= 867896340727112771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 34 2 88 2 22 2 64 2 (?)
a_n: 0 2 18 20 90 92 126 128 216 218 240 242 306 308
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: RFGuy_KCCO
db: batch=73, k=14, 16 70 34 88 22 64

TPT(16)	867894386909253701	0 2 6 8 96 98 126 128 156 158 186 188 240 242 258 260	-1953817859070
SPT(16)	867894440622333343	0 48 58 70 84 94 108 114 130 136 150 160 174 186 196 244	-1900104779428
STPT(10)	867894544474076459	0 2 18 20 30 32 42 44 60 62	-1796253036312
SPT(16)	867894836477546243	0 18 44 84 86 134 156 174 200 218 240 288 290 330 356 374	-1504249566528
STPT(10)	867895017733754831	0 2 6 8 18 20 30 32 36 38	-1322993357940
STPT(10)	867896056060763591	0 2 36 38 78 80 120 122 156 158	-284666349180
SPT(16)	867896368906365283	0 6 36 46 106 108 114 150 154 190 196 198 258 268 298 304	28179252512
SPT(16)	867896512784318107	0 4 6 16 90 112 172 186 310 324 384 406 480 490 492 496	172057205336
SPT(16)	867896995950088483	0 46 54 66 96 106 108 126 148 166 168 178 208 220 228 274	655222975712
STPT(10)	867897045638514107	0 2 60 62 72 74 84 86 144 146	704911401336
SPT(16)	867897190985160319	0 42 88 112 120 130 142 148 162 168 180 190 198 222 268 310	850258047548