Prime p₀= 2454914604013447139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 166 2 22 2 124 2 10 2 16 2 (?)
a_n: 0 2 90 92 258 260 282 284 408 410 420 422 438 440
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: 440
Found by: JayPi
db: batch=82, k=14, 88 166 22 124 10 16

SPT(16)	2454913710139210799	0 44 98 164 168 198 224 230 342 348 374 404 408 474 528 572	-893874236340
SPT(18)	2454913790911297921	0 88 100 108 148 168 178 192 210 220 238 252 262 282 322 330 342 430	-813102149218
TPT(14)	2454914105559781277	0 2 12 14 24 26 42 44 84 86 102 104 252 254	-498453665862
SPT(16)	2454914227216239247	0 4 30 34 70 114 154 156 184 186 226 270 306 310 336 340	-376797207892
STPT(10)	2454914363776112867	0 2 30 32 72 74 114 116 144 146	-240237334272
SPT(16)	2454914513207776261	0 36 48 70 76 118 208 232 276 300 390 432 438 460 472 508	-90805670878
TPT(16)	2454915432040160207	0 2 42 44 54 56 72 74 150 152 180 182 240 242 282 284	828026713068
SPT(16)	2454915460798695877	0 24 34 76 114 132 142 156 220 234 244 262 300 342 352 376	856785248738
SPT(16)	2454915764570420329	0 10 12 34 78 90 94 154 258 318 322 334 378 400 402 412	1160556973190
SPT(16)	2454916087140015227	0 24 32 44 50 54 60 86 150 176 182 186 192 204 212 236	1483126568088
STPT(10)	2454917084598012887	0 2 30 32 72 74 114 116 144 146	2480584565748