Prime p₀= 1983983399605925657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 106 2 28 2 82 2 16 2 (?)
a_n: 0 2 42 44 102 104 210 212 240 242 324 326 342 344
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: 344
Found by: eclipse99
db: batch=80, k=14, 40 58 106 28 82 16

SPT(16)	1983982123902674641	0 22 48 70 82 132 168 180 238 250 286 336 348 370 396 418	-1275703251016
STPT(10)	1983982561051774469	0 2 18 20 30 32 42 44 60 62	-838554151188
SPT(16)	1983982890114610303	0 6 10 28 64 66 70 84 100 114 118 120 156 174 178 184	-509491315354
SPT(16)	1983983023103842301	0 30 32 78 80 120 132 140 150 158 170 210 212 258 260 290	-376502083356
SPT(18)	1983983191009311707	0 54 74 80 90 102 132 152 164 252 264 284 314 326 336 342 362 416	-208596613950
SPT(16)	1983983375985831791	0 20 48 50 72 90 140 146 162 168 218 236 258 260 288 308	-23620093866
STPT(10)	1983983709260104217	0 2 12 14 42 44 72 74 84 86	309654178560
STPT(12)	1983983716575343601	0 2 30 32 60 62 66 68 96 98 126 128	316969417944
STPT(10)	1983983717872924067	0 2 24 26 42 44 60 62 84 86	318266998410
SPT(16)	1983984063156323509	0 28 78 100 102 108 120 150 190 220 232 238 240 262 312 340	663550397852
STPT(10)	1983984528986773667	0 2 54 56 72 74 90 92 144 146	1129380848010