Prime p₀= 2968966702022892521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 34 2 28 2 88 2 88 2 (?)
a_n: 0 2 18 20 30 32 66 68 96 98 186 188 276 278
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: 278
Found by: Orange Kid
db: batch=82, k=14, 16 10 34 28 88 88

SPT(16)	2968965400769361571	0 12 18 28 40 70 76 88 120 132 138 168 180 190 196 208	-1301253530950
SPT(16)	2968965515017982603	0 8 14 26 36 54 68 90 104 126 140 158 168 180 186 194	-1187004909918
STPT(10)	2968965557143772279	0 2 42 44 60 62 78 80 120 122	-1144879120242
STPT(10)	2968965707328046241	0 2 6 8 48 50 90 92 96 98	-994694846280
STPT(10)	2968965929611715177	0 2 60 62 72 74 84 86 144 146	-772411177344
STPT(10)	2968966120437250667	0 2 30 32 42 44 54 56 84 86	-581585641854
STPT(10)	2968967309398903331	0 2 36 38 78 80 120 122 156 158	607376010810
SPT(16)	2968967432455939091	0 30 38 50 72 78 92 108 140 156 170 176 198 210 218 248	730433046570
STPT(10)	2968967646442872071	0 2 6 8 48 50 90 92 96 98	944419979550
SPT(16)	2968967741048885431	0 10 42 118 142 160 168 172 216 220 228 246 270 346 378 388	1039025992910
SPT(16)	2968967819630939641	0 22 28 30 48 118 142 160 168 186 210 280 298 300 306 328	1117608047120