Prime p₀= 995780251335643379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 64 2 40 2 58 2 10 2 (?)
a_n: 0 2 90 92 102 104 168 170 210 212 270 272 282 284
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: 284
Found by: Theadalus
db: batch=76, k=14, 88 10 64 40 58 10

SPT(18)	995779182702818933	0 18 56 60 84 90 96 110 128 156 174 188 194 200 224 228 266 284	-1068632824446
TPT(14)	995779874256013547	0 2 42 44 72 74 120 122 180 182 240 242 390 392	-377079629832
SPT(16)	995779926063761539	0 4 12 22 28 52 78 84 148 154 180 204 210 220 228 232	-325271881840
STPT(10)	995779927942824257	0 2 72 74 102 104 132 134 204 206	-323392819122
STPT(10)	995780077876493867	0 2 24 26 42 44 60 62 84 86	-173459149512
STPT(10)	995780116336524887	0 2 30 32 42 44 54 56 84 86	-134999118492
SPT(16)	995780438602515763	0 16 18 64 108 120 126 156 178 208 214 226 270 316 318 334	187266872384
SPT(16)	995780604141955391	0 26 62 92 146 152 156 180 212 236 240 246 300 330 366 392	352806312012
STPT(10)	995780937265075811	0 2 120 122 210 212 300 302 420 422	685929432432
STPT(10)	995781562432833269	0 2 30 32 60 62 90 92 120 122	1311097189890
STPT(10)	995781635880650789	0 2 18 20 60 62 102 104 120 122	1384545007410