Prime p₀= 2181296432389027559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 52 2 34 2 100 2 40 2 28 2 (?)
a_n: 0 2 48 50 102 104 138 140 240 242 282 284 312 314
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: 314
Found by: [SG-FC] hl
db: batch=81, k=14, 46 52 34 100 40 28

SPT(16)	2181293874359910157	0 60 72 126 136 144 154 172 204 222 232 240 250 304 316 376	-2558029117402
SPT(16)	2181293984466080581	0 10 18 70 96 108 130 132 136 138 160 172 198 250 258 268	-2447922946978
STPT(10)	2181294129913062737	0 2 42 44 72 74 102 104 144 146	-2302475964822
SPT(16)	2181295691003039927	0 54 84 114 116 134 144 162 284 302 312 330 332 362 392 446	-741385987632
STPT(10)	2181295886550142259	0 2 18 20 30 32 42 44 60 62	-545838885300
STPT(10)	2181296121753127787	0 2 42 44 72 74 102 104 144 146	-310635899772
SPT(16)	2181296552610185267	0 6 32 56 74 80 144 186 290 332 396 402 420 444 470 476	120221157708
SPT(16)	2181296953288144817	0 30 32 56 74 90 114 140 156 182 206 222 240 264 266 296	520899117258
SPT(16)	2181297285305138017	0 24 36 96 120 132 166 190 306 330 364 376 400 460 472 496	852916110458
SPT(16)	2181297598432359139	0 12 18 90 118 148 150 178 204 232 234 264 292 364 370 382	1166043331580
TPT(14)	2181297692787416339	0 2 42 44 108 110 120 122 162 164 222 224 402 404	1260398388780