Prime p₀= 2574623010589191671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 58 2 4 2 58 2 22 2 (?)
a_n: 0 2 18 20 30 32 90 92 96 98 156 158 180 182
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: 182
Found by: RFGuy_KCCO
db: batch=82, k=14, 16 10 58 4 58 22

SPT(16)	2574622073473832471	0 12 62 68 102 138 150 182 228 260 272 308 342 348 398 410	-937115359200
SPT(16)	2574622094972953693	0 28 30 70 90 96 108 120 154 166 178 184 204 244 246 274	-915616237978
SPT(16)	2574622431240913519	0 12 34 48 100 118 138 162 250 274 294 312 364 378 400 412	-579348278152
STPT(10)	2574622707316727057	0 2 12 14 72 74 132 134 144 146	-303272464614
SPT(16)	2574622857716204411	0 8 12 62 132 176 182 210 278 306 312 356 426 476 480 488	-152872987260
SPT(16)	2574622894267927637	0 2 66 84 92 150 176 182 264 270 296 354 362 380 444 446	-116321264034
TPT(14)	2574623244296372117	0 2 102 104 120 122 144 146 294 296 300 302 312 314	233707180446
SPT(16)	2574623639569298663	0 26 54 78 98 126 128 150 194 216 218 246 266 290 318 344	628980106992
STPT(10)	2574623675597872397	0 2 42 44 72 74 102 104 144 146	665008680726
STPT(10)	2574623877442840499	0 2 78 80 150 152 222 224 300 302	866853648828
STPT(10)	2574624043876611677	0 2 30 32 42 44 54 56 84 86	1033287420006