Prime p₀= 2036895856116008177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 76 2 58 2 40 2 178 2 (?)
a_n: 0 2 12 14 42 44 120 122 180 182 222 224 402 404
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: 404
Found by: Landjunge
db: batch=80, k=14, 10 28 76 58 40 178

SPT(16)	2036893694912104177	0 36 64 70 106 120 154 156 184 186 220 234 270 276 304 340	-2161203904000
TPT(14)	2036894118971512091	0 2 18 20 30 32 156 158 168 170 198 200 210 212	-1737144496086
SPT(16)	2036894209610220431	0 20 72 92 128 150 210 216 242 248 308 330 366 386 438 458	-1646505787746
SPT(16)	2036894857644983341	0 10 12 18 42 76 88 102 196 210 222 256 280 286 288 298	-998471024836
STPT(10)	2036894903413939739	0 2 18 20 60 62 102 104 120 122	-952702068438
STPT(10)	2036895589425638477	0 2 30 32 42 44 54 56 84 86	-266690369700
STPT(10)	2036896480528290089	0 2 42 44 60 62 78 80 120 122	624412281912
SPT(16)	2036896505588649037	0 6 12 16 22 42 82 90 112 120 160 180 186 190 196 202	649472640860
SPT(16)	2036896557865487951	0 20 36 66 72 78 80 98 120 138 140 146 152 182 198 218	701749479774
TPT(14)	2036896605389294951	0 2 30 32 66 68 78 80 96 98 150 152 210 212	749273286774
TPT(14)	2036896953536738297	0 2 30 32 42 44 102 104 114 116 144 146 294 296	1097420730120