Prime p₀= 2302998044474453237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 4 2 40 2 28 2 10 2 (?)
a_n: 0 2 30 32 84 86 90 92 132 134 162 164 174 176
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: 176
Found by: FritzB
db: batch=81, k=14, 28 52 4 40 28 10

STPT(10)	2302996168354484411	0 2 6 8 48 50 90 92 96 98	-1876119968826
SPT(16)	2302996227365401823	0 26 36 90 128 134 146 164 180 198 210 216 254 308 318 344	-1817109051414
SPT(16)	2302996331082103961	0 36 62 80 90 96 120 150 152 182 206 212 222 240 266 302	-1713392349276
STPT(10)	2302996613591532977	0 2 30 32 42 44 54 56 84 86	-1430882920260
STPT(10)	2302997376299568209	0 2 48 50 60 62 72 74 120 122	-668174885028
SPT(16)	2302997768027662931	0 30 38 66 92 102 150 168 200 218 266 276 302 330 338 368	-276446790306
SPT(16)	2302998420425033963	0 14 20 56 74 156 158 186 188 216 218 300 318 354 360 374	375950580726
STPT(10)	2302998566931490427	0 2 24 26 42 44 60 62 84 86	522457037190
SPT(16)	2302998616120866071	0 90 102 116 168 182 188 200 258 270 276 290 342 356 368 458	571646412834
STPT(10)	2302999340737492091	0 2 36 38 78 80 120 122 156 158	1296263038854
SPT(16)	2302999341918449641	0 36 52 60 78 88 112 136 162 186 210 220 238 246 262 298	1297443996404