Prime p₀= 2940199806572398427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 4 2 88 2 10 2 40 2 (?)
a_n: 0 2 24 26 114 116 120 122 210 212 222 224 264 266
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: 266
Found by: [SG-FC] hl
db: batch=82, k=14, 22 88 4 88 10 40

SPT(16)	2940197833035845873	0 44 54 80 140 150 168 194 210 236 254 264 324 350 360 404	-1973536552554
STPT(10)	2940198191000196197	0 2 30 32 42 44 54 56 84 86	-1615572202230
SPT(16)	2940198462284547689	0 32 42 84 98 140 150 164 198 212 222 264 278 320 330 362	-1344287850738
SPT(16)	2940199063913649257	0 24 26 42 80 84 90 110 126 146 152 156 194 210 212 236	-742658749170
STPT(10)	2940199283718999899	0 2 42 44 60 62 78 80 120 122	-522853398528
STPT(10)	2940199684744963997	0 2 30 32 72 74 114 116 144 146	-121827434430
STPT(10)	2940200018605650527	0 2 24 26 42 44 60 62 84 86	212033252100
STPT(10)	2940200231494691489	0 2 18 20 30 32 42 44 60 62	424922293062
STPT(10)	2940200284033702901	0 2 30 32 78 80 126 128 156 158	477461304474
STPT(10)	2940200698811047499	0 2 18 20 60 62 102 104 120 122	892238649072
SPT(16)	2940201105909210851	0 2 12 50 66 80 92 122 126 156 168 182 198 236 246 248	1299336812424