Prime p₀= 2123369274180432449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 40 2 40 2 46 2 10 2 (?)
a_n: 0 2 12 14 78 80 120 122 162 164 210 212 222 224
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: 224
Found by: Landjunge
db: batch=80, k=14, 10 64 40 40 46 10

SPT(16)	2123368509331535131	0 18 28 40 70 78 96 130 138 172 190 198 228 240 250 268	-764848897318
SPT(16)	2123368637445707681	0 18 38 56 68 162 186 200 228 242 266 360 372 390 410 428	-636734724768
SPT(16)	2123368657301512451	0 8 32 48 98 110 132 138 140 146 168 180 230 246 270 278	-616878919998
STPT(10)	2123368778221382369	0 2 18 20 30 32 42 44 60 62	-495959050080
STPT(10)	2123368878432211211	0 2 6 8 48 50 90 92 96 98	-395748221238
STPT(12)	2123369254422987911	0 2 18 20 60 62 96 98 138 140 156 158	-19757444538
SPT(16)	2123369863141161847	0 4 6 24 36 42 64 76 120 132 154 160 172 190 192 196	588960729398
STPT(10)	2123369927950843469	0 2 42 44 60 62 78 80 120 122	653770411020
STPT(10)	2123370074523877349	0 2 18 20 30 32 42 44 60 62	800343444900
STPT(10)	2123370126523852571	0 2 30 32 78 80 126 128 156 158	852343420122
SPT(16)	2123370445459355881	0 12 40 42 46 60 90 96 196 202 232 246 250 252 280 292	1171278923432