Prime p₀= 1974220601916392171 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 40 2 28 2 16 2 10 2 (?)
a_n: 0 2 60 62 66 68 108 110 138 140 156 158 168 170
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: 170
Found by: Orange Kid
db: batch=80, k=14, 58 4 40 28 16 10

SPT(16)	1974218945000422597	0 10 22 24 94 124 162 166 180 184 222 252 322 324 336 346	-1656915969574
STPT(10)	1974218967029407127	0 2 30 32 42 44 54 56 84 86	-1634886985044
STPT(10)	1974219857288136551	0 2 30 32 60 62 90 92 120 122	-744628255620
SPT(16)	1974220004919868243	0 66 150 156 160 168 196 234 310 348 376 384 388 394 478 544	-596996523928
STPT(10)	1974220197265227809	0 2 42 44 60 62 78 80 120 122	-404651164362
STPT(10)	1974220215163682987	0 2 54 56 72 74 90 92 144 146	-386752709184
SPT(16)	1974220794877455979	0 22 28 52 54 88 100 130 162 192 204 238 240 264 270 292	192961063808
SPT(16)	1974220821224986769	0 12 30 180 200 242 248 278 282 312 318 360 380 530 548 560	219308594598
SPT(18)	1974220921655406847	0 12 16 34 36 82 132 142 150 166 174 184 234 280 282 300 304 316	319739014676
SPT(16)	1974221368962701071	0 52 78 82 108 126 136 142 246 252 262 280 306 310 336 388	767046308900
SPT(16)	1974222107583755537	0 2 32 54 92 102 110 144 170 204 212 222 260 282 312 314	1505667363366