Prime p₀= 2863394061355331921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 10 2 94 2 10 2 16 2 (?)
a_n: 0 2 6 8 18 20 30 32 126 128 138 140 156 158
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: 158
Found by: Landjunge
db: batch=82, k=14, 4 10 10 94 10 16

SPT(16)	2863392946887111733	0 64 78 90 100 118 154 220 264 330 366 384 394 406 420 484	-1114468220188
STPT(10)	2863393099022054237	0 2 60 62 72 74 84 86 144 146	-962333277684
TPT(14)	2863393323251722769	0 2 60 62 102 104 180 182 198 200 228 230 258 260	-738103609152
SPT(16)	2863393388182177871	0 12 18 42 56 66 96 116 132 152 182 192 206 230 236 248	-673173154050
SPT(16)	2863393509395656249	0 28 42 48 60 180 210 228 232 250 280 400 412 418 432 460	-551959675672
STPT(10)	2863393775495251049	0 2 42 44 60 62 78 80 120 122	-285860080872
SPT(16)	2863394160915749749	0 4 22 100 120 142 148 210 292 354 360 382 402 480 498 502	99560417828
STPT(10)	2863394727425109041	0 2 48 50 108 110 168 170 216 218	666069777120
STPT(10)	2863394899179060437	0 2 42 44 102 104 162 164 204 206	837823728516
SPT(16)	2863395037317192503	0 20 24 48 56 66 74 86 168 180 188 198 206 230 234 254	975961860582
STPT(10)	2863395812904834539	0 2 12 14 90 92 168 170 180 182	1751549502618