Prime p₀= 1322572120448922197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 58 2 88 2 34 2 118 2 10 2 (?)
a_n: 0 2 54 56 114 116 204 206 240 242 360 362 372 374
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: 374
Found by: Megacruncher
db: batch=77, k=14, 52 58 88 34 118 10

SPT(16)	1322570384126040461	0 68 110 140 170 228 252 266 282 296 320 378 408 438 480 548	-1736322881736
STPT(10)	1322570778411059207	0 2 30 32 60 62 90 92 120 122	-1342037862990
STPT(10)	1322570959691727971	0 2 36 38 78 80 120 122 156 158	-1160757194226
SPT(16)	1322571256218606353	0 14 50 66 144 150 186 224 306 344 380 386 464 480 516 530	-864230315844
STPT(12)	1322571753221946089	0 2 30 32 42 44 78 80 90 92 120 122	-367226976108
SPT(16)	1322571945627397811	0 30 86 98 140 168 192 222 236 266 290 318 360 372 428 458	-174821524386
STPT(10)	1322572139377187729	0 2 30 32 60 62 90 92 120 122	18928265532
STPT(10)	1322572204679884157	0 2 24 26 42 44 60 62 84 86	84230961960
SPT(16)	1322572859985102127	0 22 34 54 112 124 154 160 204 210 240 252 310 330 342 364	739536179930
TPT(14)	1322572985371685939	0 2 90 92 132 134 138 140 258 260 300 302 348 350	864922763742
STPT(10)	1322573125596965069	0 2 18 20 60 62 102 104 120 122	1005148042872