Prime p₀= 1958733016015108181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 70 2 10 2 94 2 82 2 16 2 (?)
a_n: 0 2 6 8 78 80 90 92 186 188 270 272 288 290
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: 290
Found by: Landjunge
db: batch=80, k=14, 4 70 10 94 82 16

TPT(14)	1958731605254924909	0 2 90 92 120 122 138 140 180 182 192 194 258 260	-1410760183272
STPT(10)	1958731631929583807	0 2 90 92 102 104 114 116 204 206	-1384085524374
SPT(16)	1958731690992503569	0 4 18 28 58 84 90 130 132 172 178 204 234 244 258 262	-1325022604612
STPT(10)	1958731961373601121	0 2 36 38 78 80 120 122 156 158	-1054641507060
SPT(16)	1958732626699683193	0 10 24 34 36 60 64 90 130 156 160 184 186 196 210 220	-389315424988
SPT(16)	1958732883805377607	0 22 46 76 82 120 124 142 144 162 166 204 210 240 264 286	-132209730574
STPT(10)	1958733227639556617	0 2 30 32 42 44 54 56 84 86	211624448436
STPT(10)	1958733374122721309	0 2 42 44 120 122 198 200 240 242	358107613128
SPT(16)	1958733386167241309	0 8 20 38 42 44 80 92 120 132 168 170 174 192 204 212	370152133128
STPT(10)	1958733444218135867	0 2 60 62 102 104 144 146 204 206	428203027686
STPT(10)	1958733553400068271	0 2 30 32 78 80 126 128 156 158	537384960090