Prime p₀= 3018689355405993089 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 82 2 4 2 28 2 40 2 (?)
a_n: 0 2 30 32 78 80 162 164 168 170 198 200 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 28 46 82 4 28 40

SPT(16)	3018688450545534001	0 16 28 42 48 102 130 148 180 198 226 280 286 300 312 328	-904860459088
STPT(10)	3018688644330577121	0 2 36 38 78 80 120 122 156 158	-711075415968
STPT(10)	3018688711049337839	0 2 42 44 60 62 78 80 120 122	-644356655250
STPT(10)	3018689092985805647	0 2 42 44 72 74 102 104 144 146	-262420187442
SPT(16)	3018689220839329549	0 18 22 42 58 70 72 84 88 100 102 114 130 150 154 172	-134566663540
STPT(10)	3018689255747254091	0 2 36 38 78 80 120 122 156 158	-99658738998
STPT(10)	3018689461209068357	0 2 12 14 42 44 72 74 84 86	105803075268
SPT(16)	3018689658752318521	0 22 42 70 76 102 126 150 172 196 220 246 252 280 300 322	303346325432
STPT(10)	3018689684368848569	0 2 48 50 60 62 72 74 120 122	328962855480
STPT(10)	3018689822819537561	0 2 36 38 78 80 120 122 156 158	467413544472
STPT(10)	3018690141602502977	0 2 30 32 42 44 54 56 84 86	786196509888