Prime p₀= 2221410813108178379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 112 2 46 2 70 2 (?)
a_n: 0 2 18 20 42 44 48 50 162 164 210 212 282 284
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: 284
Found by: Penguin
db: batch=81, k=14, 16 22 4 112 46 70

SPT(16)	2221410407517236651	0 2 6 36 56 122 206 210 212 216 300 366 386 416 420 422	-405590941728
STPT(10)	2221410408798150671	0 2 6 8 48 50 90 92 96 98	-404310027708
SPT(16)	2221410486896530619	0 54 60 104 110 132 140 180 182 222 230 252 258 302 308 362	-326211647760
STPT(10)	2221410645285275201	0 2 6 8 18 20 30 32 36 38	-167822903178
STPT(10)	2221410700238814737	0 2 42 44 72 74 102 104 144 146	-112869363642
STPT(10)	2221410703488366491	0 2 6 8 48 50 90 92 96 98	-109619811888
SPT(16)	2221410923841664957	0 34 42 54 72 100 120 180 184 244 264 292 310 322 330 364	110733486578
SPT(16)	2221411164522822073	0 36 60 106 114 148 154 174 310 330 336 370 378 424 448 484	351414643694
STPT(10)	2221411814834071661	0 2 6 8 48 50 90 92 96 98	1001725893282
STPT(10)	2221411901000165309	0 2 42 44 60 62 78 80 120 122	1087891986930
TPT(14)	2221411944180674801	0 2 78 80 180 182 306 308 318 320 348 350 426 428	1131072496422