Prime p₀= 963423720446200709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 28 2 178 2 70 2 40 2 (?)
a_n: 0 2 42 44 48 50 78 80 258 260 330 332 372 374
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: 374
Found by: Theadalus
db: batch=76, k=14, 40 4 28 178 70 40

STPT(10)	963423270113717261	0 2 30 32 60 62 90 92 120 122	-450332483448
SPT(16)	963423315680842169	0 24 60 110 140 152 170 194 228 252 270 282 312 362 398 422	-404765358540
SPT(16)	963423387851963873	0 38 66 116 126 164 168 204 290 326 330 368 378 428 456 494	-332594236836
TPT(14)	963423403892844071	0 2 48 50 78 80 126 128 156 158 240 242 288 290	-316553356638
SPT(16)	963423450849629447	0 56 60 62 74 110 132 144 152 164 186 222 234 236 240 296	-269596571262
SPT(16)	963423571268650663	0 6 64 66 70 84 90 106 168 184 190 204 208 210 268 274	-149177550046
SPT(16)	963423761114980093	0 18 148 154 214 244 288 300 334 346 390 420 480 486 616 634	40668779384
TPT(14)	963423969934352657	0 2 42 44 54 56 90 92 150 152 162 164 174 176	249488151948
SPT(16)	963424073668919869	0 12 84 88 102 168 172 174 178 180 184 250 264 268 340 352	353222719160
SPT(16)	963424276832447093	0 24 96 108 114 140 180 198 206 224 264 290 296 308 380 404	556386246384
STPT(10)	963424401925031819	0 2 12 14 90 92 168 170 180 182	681478831110