Prime p₀= 2474370020242858817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 16 2 40 2 40 2 46 2 (?)
a_n: 0 2 30 32 102 104 120 122 162 164 204 206 252 254
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: 254
Found by: Sammey19
db: batch=82, k=14, 28 70 16 40 40 46

SPT(16)	2474368068790291039	0 42 58 130 142 160 198 204 238 244 282 300 312 384 400 442	-1951452567778
SPT(16)	2474369169119325847	0 40 42 52 64 66 90 120 166 196 220 222 234 244 246 286	-851123532970
SPT(20)	2474369272384610449	0 4 10 52 88 90 120 172 184 198 274 288 300 352 382 384 420 462 468 472	-747858248368
STPT(10)	2474369459390522921	0 2 78 80 108 110 138 140 216 218	-560852335896
SPT(16)	2474369572670255759	0 2 14 20 24 32 48 50 72 74 90 98 102 108 120 122	-447572603058
STPT(10)	2474369678569076831	0 2 6 8 48 50 90 92 96 98	-341673781986
STPT(10)	2474370062682850061	0 2 36 38 78 80 120 122 156 158	42439991244
SPT(13)	2474370543819369001	0 36 42 60 72 102 156 210 240 252 270 276 312	523576510184
STPT(10)	2474370696510925097	0 2 12 14 42 44 72 74 84 86	676268066280
STPT(10)	2474370912073465919	0 2 42 44 90 92 138 140 180 182	891830607102
STPT(10)	2474371085367712499	0 2 42 44 90 92 138 140 180 182	1065124853682