Prime p₀= 2268428039442257417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 16 2 136 2 28 2 10 2 (?)
a_n: 0 2 30 32 84 86 102 104 240 242 270 272 282 284
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: 284
Found by: JayPi
db: batch=81, k=14, 28 52 16 136 28 10

SPT(16)	2268425564662988113	0 28 40 48 66 76 78 88 126 136 138 148 166 174 186 214	-2474779269304
STPT(10)	2268425820247271561	0 2 30 32 60 62 90 92 120 122	-2219194985856
STPT(10)	2268426803745465287	0 2 12 14 42 44 72 74 84 86	-1235696792130
STPT(10)	2268426876698959979	0 2 30 32 60 62 90 92 120 122	-1162743297438
SPT(16)	2268427455424571767	0 16 72 82 84 96 124 126 130 132 160 172 174 184 240 256	-584017685650
STPT(10)	2268427567007607167	0 2 30 32 42 44 54 56 84 86	-472434650250
TPT(14)	2268428423810691017	0 2 30 32 42 44 54 56 264 266 414 416 462 464	384368433600
SPT(16)	2268428665959389711	0 12 42 50 60 78 162 180 200 218 302 320 330 338 368 380	626517132294
STPT(10)	2268428934144258047	0 2 30 32 42 44 54 56 84 86	894702000630
SPT(16)	2268429006277528733	0 8 30 38 78 90 104 114 224 234 248 260 300 308 330 338	966835271316
STPT(10)	2268429125874775679	0 2 48 50 90 92 132 134 180 182	1086432518262