Prime p₀= 2267227417644364361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 58 2 76 2 28 2 40 2 (?)
a_n: 0 2 6 8 30 32 90 92 168 170 198 200 240 242
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: 242
Found by: JayPi
db: batch=81, k=14, 4 22 58 76 28 40

TPT(14)	2267225687958377897	0 2 114 116 132 134 210 212 240 242 342 344 372 374	-1729685986464
STPT(10)	2267225879099646077	0 2 30 32 42 44 54 56 84 86	-1538544718284
SPT(16)	2267226438272640263	0 80 108 168 198 228 236 314 360 438 446 476 506 566 594 674	-979371724098
SPT(16)	2267226630612559471	0 6 10 30 48 168 196 198 238 240 268 388 406 426 430 436	-787031804890
STPT(10)	2267226676988771549	0 2 42 44 60 62 78 80 120 122	-740655592812
STPT(10)	2267226886078277861	0 2 36 38 108 110 180 182 216 218	-531566086500
TPT(14)	2267227723212269567	0 2 12 14 24 26 162 164 192 194 204 206 222 224	305567905206
TPT(14)	2267227875607880219	0 2 72 74 102 104 138 140 168 170 222 224 240 242	457963515858
SPT(16)	2267228262472831111	0 90 100 192 208 210 238 252 436 450 478 480 496 588 598 688	844828466750
SPT(16)	2267228446399936963	0 34 76 108 124 130 160 184 210 234 264 270 286 318 360 394	1028755572602
SPT(16)	2267229562361024491	0 6 18 52 72 96 118 130 138 150 172 196 216 250 262 268	2144716660130