Prime p₀= 2266974446650708841 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 34 2 10 2 16 2 22 2 (?)
a_n: 0 2 60 62 90 92 126 128 138 140 156 158 180 182
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: 182
Found by: JayPi
db: batch=81, k=14, 58 28 34 10 16 22

SPT(16)	2266973128185404593	0 10 28 34 48 94 106 114 160 168 180 226 240 246 264 274	-1318465304248
SPT(16)	2266973558625979549	0 22 54 82 132 142 180 184 348 352 390 400 450 478 510 532	-888024729292
SPT(16)	2266973640949597651	0 10 16 30 52 106 120 126 136 142 156 210 232 246 252 262	-805701111190
STPT(10)	2266973654864478347	0 2 12 14 72 74 132 134 144 146	-791786230494
STPT(10)	2266973860404584951	0 2 6 8 48 50 90 92 96 98	-586246123890
STPT(10)	2266974196105600559	0 2 48 50 90 92 132 134 180 182	-250545108282
STPT(10)	2266974864071373899	0 2 18 20 60 62 102 104 120 122	417420665058
SPT(16)	2266974880437201811	0 16 22 30 76 112 126 132 136 142 156 192 238 246 252 268	433786492970
SPT(16)	2266975104728689661	0 12 20 26 36 42 66 78 80 92 116 122 132 138 146 158	658077980820
STPT(10)	2266975306806312197	0 2 30 32 42 44 54 56 84 86	860155603356
STPT(10)	2266975384319130767	0 2 42 44 72 74 102 104 144 146	937668421926