Prime p₀= 3035378564154990497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 40 2 70 2 16 2 10 2 (?)
a_n: 0 2 12 14 120 122 162 164 234 236 252 254 264 266
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: 266
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 10 106 40 70 16 10

SPT(16)	3035376829769944897	0 46 70 84 100 102 112 130 156 174 184 186 202 216 240 286	-1734385045600
SPT(16)	3035377187397147037	0 40 64 142 156 172 180 196 240 256 264 280 294 372 396 436	-1376757843460
STPT(10)	3035377215886929227	0 2 30 32 42 44 54 56 84 86	-1348268061270
STPT(10)	3035377239771210149	0 2 12 14 30 32 48 50 60 62	-1324383780348
STPT(10)	3035377792767500207	0 2 30 32 42 44 54 56 84 86	-771387490290
STPT(10)	3035378031687885977	0 2 30 32 60 62 90 92 120 122	-532467104520
STPT(10)	3035378825458970411	0 2 36 38 78 80 120 122 156 158	261303979914
SPT(16)	3035378870795263337	0 14 24 30 42 72 90 102 104 116 134 164 176 182 192 206	306640272840
SPT(16)	3035379138466477529	0 42 68 84 90 102 104 114 128 138 140 152 158 174 200 242	574311487032
SPT(16)	3035379727735731283	0 48 64 66 76 138 168 186 238 256 286 348 358 360 376 424	1163580740786
SPT(16)	3035380159856700671	0 30 60 78 92 98 116 158 210 252 270 276 290 308 338 368	1595701710174