Prime p₀= 1411883522645652191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 148 2 130 2 76 2 28 2 (?)
a_n: 0 2 36 38 48 50 198 200 330 332 408 410 438 440
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: Paul
db: batch=78, k=14, 34 10 148 130 76 28

STPT(10)	1411881651700844921	0 2 36 38 78 80 120 122 156 158	-1870944807270
STPT(10)	1411881909650862437	0 2 12 14 72 74 132 134 144 146	-1612994789754
SPT(16)	1411882172954440667	0 30 56 90 96 104 116 194 216 294 306 314 320 354 380 410	-1349691211524
SPT(16)	1411882194488135561	0 6 38 60 80 86 90 126 230 266 270 276 296 318 350 356	-1328157516630
SPT(16)	1411883056749240809	0 24 30 42 110 158 198 200 222 224 264 312 380 392 398 422	-465896411382
STPT(10)	1411883072028201959	0 2 18 20 30 32 42 44 60 62	-450617450232
SPT(20)	1411883539204289497	0 24 34 64 90 106 126 150 220 262 264 306 376 400 420 436 462 492 502 526	16558637306
STPT(10)	1411883588005195157	0 2 30 32 72 74 114 116 144 146	65359542966
TPT(14)	1411883655746866217	0 2 42 44 60 62 114 116 210 212 234 236 240 242	133101214026
SPT(16)	1411883860373501789	0 8 44 74 98 128 150 162 200 212 234 264 288 318 354 362	337727849598
SPT(16)	1411884078515636801	0 12 36 48 50 116 162 168 320 326 372 438 440 452 476 488	555869984610