Prime p₀= 832309035889676087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 12 14 30 32 42 44 72 74 84 86 120 122
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: 122
Found by: Iril
db: batch=73, k=14, 10 16 10 28 10 34

SPT(16)	832307934809910109	0 12 78 82 154 172 192 210 232 250 270 288 360 364 430 442	-1101079765978
STPT(10)	832308108862380749	0 2 18 20 30 32 42 44 60 62	-927027295338
STPT(10)	832308127976584289	0 2 18 20 30 32 42 44 60 62	-907913091798
STPT(10)	832308320971799291	0 2 6 8 48 50 90 92 96 98	-714917876796
TPT(14)	832308343137929597	0 2 30 32 42 44 84 86 90 92 120 122 132 134	-692751746490
SPT(16)	832308439681196033	0 6 44 78 90 96 110 168 176 234 248 254 266 300 338 344	-596208480054
SPT(16)	832309065113055799	0 34 64 70 78 114 132 142 180 190 208 244 252 258 288 322	29223379712
SPT(16)	832309155783749621	0 26 38 48 60 90 96 98 108 110 116 146 158 168 180 206	119894073534
STPT(10)	832309284384908411	0 2 6 8 48 50 90 92 96 98	248495232324
SPT(16)	832309478855924249	0 12 32 42 68 98 138 174 188 224 264 294 320 330 350 362	442966248162
STPT(10)	832309548545170061	0 2 36 38 78 80 120 122 156 158	512655493974