Prime p₀= 1100128276192284881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 16 2 10 2 10 2 124 2 (?)
a_n: 0 2 36 38 48 50 66 68 78 80 90 92 216 218
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: Theadalus
db: batch=76, k=14, 34 10 16 10 10 124

STPT(10)	1100126773228879997	0 2 12 14 42 44 72 74 84 86	-1502963404884
SPT(16)	1100126861795898829	0 28 54 118 124 132 180 228 274 322 370 378 384 448 474 502	-1414396386052
SPT(16)	1100126960511039323	0 18 74 90 108 150 176 186 188 198 224 266 284 300 356 374	-1315681245558
SPT(16)	1100127603073999789	0 4 24 48 64 70 84 94 144 154 168 174 190 214 234 238	-673118285092
SPT(16)	1100127769351879969	0 42 64 70 82 84 100 114 148 162 178 180 192 198 220 262	-506840404912
SPT(16)	1100127837804874253	0 20 60 68 96 114 116 128 156 168 170 188 216 224 264 284	-438387410628
STPT(10)	1100128987356798611	0 2 36 38 78 80 120 122 156 158	711164513730
SPT(16)	1100129037284906807	0 72 120 132 140 146 156 210 266 320 330 336 344 356 404 476	761092621926
STPT(10)	1100129319451684679	0 2 78 80 150 152 222 224 300 302	1043259399798
STPT(10)	1100129520739067009	0 2 72 74 120 122 168 170 240 242	1244546782128
SPT(16)	1100129724068027423	0 26 38 86 110 134 140 168 206 234 240 264 288 336 348 374	1447875742542