Prime p₀= 963661644177804701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 100 2 28 2 10 2 28 2 34 2 (?)
a_n: 0 2 6 8 108 110 138 140 150 152 180 182 216 218
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: 218
Found by: Spectrum
db: batch=76, k=14, 4 100 28 10 28 34

SPT(16)	963660356356423133	0 30 74 116 126 134 146 170 204 228 240 248 258 300 344 374	-1287821381568
STPT(10)	963660383452109009	0 2 18 20 30 32 42 44 60 62	-1260725695692
STPT(10)	963661114436929859	0 2 18 20 30 32 42 44 60 62	-529740874842
STPT(10)	963661170710111309	0 2 18 20 60 62 102 104 120 122	-473467693392
SPT(16)	963661176105489241	0 58 70 78 100 120 136 142 156 162 178 198 220 228 240 298	-468072315460
SPT(16)	963661512285809903	0 20 38 54 108 140 150 194 210 254 264 296 350 366 384 404	-131891994798
SPT(16)	963661925064671839	0 10 24 42 54 84 90 102 160 172 178 208 220 238 252 262	280886867138
SPT(16)	963662016326174861	0 2 12 50 78 80 152 212 246 306 378 380 408 446 456 458	372148370160
SPT(16)	963662111556401479	0 18 28 34 52 112 132 150 172 190 210 270 288 294 304 322	467378596778
SPT(16)	963662311018903501	0 12 40 88 102 118 126 130 168 172 180 196 210 258 286 298	666841098800
STPT(10)	963662393839252577	0 2 30 32 42 44 54 56 84 86	749661447876