Prime p₀= 2156177712130536977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 124 2 28 2 28 2 22 2 16 2 (?)
a_n: 0 2 54 56 180 182 210 212 240 242 264 266 282 284
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: retroactivemind
db: batch=81, k=14, 52 124 28 28 22 16

SPT(16)	2156175231913034749	0 42 82 88 114 124 130 138 214 222 228 238 264 270 310 352	-2480217502228
STPT(12)	2156176479383760257	0 2 30 32 54 56 90 92 114 116 144 146	-1232746776720
STPT(10)	2156176752123099491	0 2 30 32 60 62 90 92 120 122	-960007437486
STPT(10)	2156176780158373769	0 2 18 20 30 32 42 44 60 62	-931972163208
SPT(16)	2156176883017491023	0 20 30 50 78 126 134 144 170 180 188 236 264 284 294 314	-829113045954
STPT(10)	2156176948774868021	0 2 36 38 78 80 120 122 156 158	-763355668956
STPT(10)	2156178102556540817	0 2 60 62 72 74 84 86 144 146	390426003840
STPT(10)	2156178360638914397	0 2 30 32 60 62 90 92 120 122	648508377420
TPT(14)	2156178399253793261	0 2 18 20 90 92 156 158 198 200 228 230 306 308	687123256284
SPT(16)	2156178518919355267	0 22 24 46 54 82 126 154 162 190 234 262 270 292 294 316	806788818290
STPT(10)	2156179615445475419	0 2 48 50 60 62 72 74 120 122	1903314938442