Prime p₀= 2181275536414631687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 28 2 10 2 28 2 160 2 (?)
a_n: 0 2 30 32 90 92 120 122 132 134 162 164 324 326
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: 326
Found by: Penguin
db: batch=81, k=14, 28 58 28 10 28 160

STPT(10)	2181273441644379737	0 2 54 56 72 74 90 92 144 146	-2094770251950
STPT(10)	2181274166654513891	0 2 36 38 78 80 120 122 156 158	-1369760117796
SPT(16)	2181274973691961981	0 18 22 28 52 72 126 130 168 172 226 246 270 276 280 298	-562722669706
SPT(16)	2181275267226194203	0 18 28 30 60 78 204 208 210 214 340 358 388 390 400 418	-269188437484
SPT(16)	2181275333095563559	0 22 24 54 82 100 108 114 178 184 192 210 238 268 270 292	-203319068128
STPT(10)	2181275396548159589	0 2 18 20 30 32 42 44 60 62	-139866472098
STPT(10)	2181275749585174139	0 2 18 20 60 62 102 104 120 122	213170542452
SPT(16)	2181275885591313983	0 8 20 38 54 66 120 150 194 224 278 290 306 324 336 344	349176682296
TPT(14)	2181275933390313479	0 2 12 14 30 32 150 152 192 194 210 212 228 230	396975681792
STPT(10)	2181276007132145969	0 2 12 14 90 92 168 170 180 182	470717514282
STPT(10)	2181276008368354949	0 2 42 44 60 62 78 80 120 122	471953723262