Prime p₀= 1538044022732222441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 100 2 4 2 40 2 28 2 16 2 (?)
a_n: 0 2 18 20 120 122 126 128 168 170 198 200 216 218
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: 218
Found by: Theadalus
db: batch=78, k=14, 16 100 4 40 28 16

SPT(16)	1538042089250794271	0 26 72 78 96 102 138 158 180 200 236 242 260 266 312 338	-1933481428170
STPT(10)	1538042235512359271	0 2 30 32 60 62 90 92 120 122	-1787219863170
SPT(16)	1538042507249298797	0 32 60 62 80 102 132 162 164 194 224 246 264 266 294 326	-1515482923644
SPT(16)	1538042766069019739	0 12 18 50 68 90 110 132 140 162 182 204 222 254 260 272	-1256663202702
STPT(10)	1538043216292963451	0 2 30 32 78 80 126 128 156 158	-806439258990
STPT(10)	1538043625477701227	0 2 54 56 72 74 90 92 144 146	-397254521214
STPT(10)	1538044409049245567	0 2 30 32 42 44 54 56 84 86	386317023126
STPT(10)	1538044475810170421	0 2 36 38 78 80 120 122 156 158	453077947980
STPT(10)	1538044482977974817	0 2 24 26 42 44 60 62 84 86	460245752376
SPT(16)	1538044484254346543	0 14 26 30 38 60 68 74 150 156 164 186 194 198 210 224	461522124102
STPT(12)	1538044516688701247	0 2 30 32 72 74 132 134 174 176 204 206	493956478806