Prime p₀= 1968725139060912569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 70 2 16 2 136 2 10 2 70 2 (?)
a_n: 0 2 120 122 192 194 210 212 348 350 360 362 432 434
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: 434
Found by: Landjunge
db: batch=80, k=14, 118 70 16 136 10 70

SPT(16)	1968723888279195787	0 82 90 120 124 132 160 204 262 306 334 342 346 376 384 466	-1250781716782
SPT(16)	1968723890024806063	0 10 48 66 88 94 120 168 196 244 270 276 298 316 354 364	-1249036106506
SPT(16)	1968724348933217923	0 6 34 36 64 76 90 130 150 190 204 216 244 246 274 280	-790127694646
SPT(16)	1968725001086497729	0 18 34 60 102 118 148 162 220 234 264 280 322 348 364 382	-137974414840
SPT(16)	1968725066837111273	0 36 38 48 66 80 84 104 120 140 144 158 176 186 188 224	-72223801296
SPT(16)	1968725136458825939	0 8 12 38 54 80 104 120 122 138 162 188 204 230 234 242	-2602086630
STPT(10)	1968725338524899621	0 2 6 8 18 20 30 32 36 38	199463987052
SPT(16)	1968725383362667063	0 94 144 168 268 310 348 376 378 406 444 486 586 610 660 754	244301754494
SPT(16)	1968725552655795617	0 32 36 66 92 110 132 140 186 194 216 234 260 290 294 326	413594883048
STPT(12)	1968725627095524761	0 2 6 8 48 50 78 80 120 122 126 128	488034612192
STPT(10)	1968725779953055559	0 2 42 44 60 62 78 80 120 122	640892142990