Prime p₀= 2217211823416960229 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 136 2 22 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 168 170 192 194 210 212 222 224 252 254
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: Penguin
db: batch=81, k=14, 28 136 22 16 10 28

SPT(16)	2217210460755326833	0 16 30 34 40 76 130 156 184 210 264 300 306 310 324 340	-1362661633396
TPT(14)	2217211006939048787	0 2 132 134 144 146 174 176 252 254 300 302 324 326	-816477911442
STPT(10)	2217211280170850627	0 2 42 44 72 74 102 104 144 146	-543246109602
SPT(18)	2217211458750023479	0 42 58 64 72 108 150 172 178 204 210 232 274 310 318 324 340 382	-364666936750
SPT(16)	2217211651528928459	0 14 30 42 54 72 80 104 108 132 140 158 170 182 198 212	-171888031770
STPT(10)	2217211663210609367	0 2 30 32 42 44 54 56 84 86	-160206350862
SPT(16)	2217212049930575177	0 20 32 36 84 90 96 102 134 140 146 152 200 204 216 236	226513614948
STPT(10)	2217212069551146137	0 2 30 32 42 44 54 56 84 86	246134185908
STPT(10)	2217212441935825517	0 2 30 32 42 44 54 56 84 86	618518865288
STPT(10)	2217213076972211369	0 2 18 20 60 62 102 104 120 122	1253555251140
SPT(16)	2217213606604335359	0 14 42 48 54 60 74 80 132 138 152 158 164 170 198 212	1783187375130