Prime p₀= 2199824923685372957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 28 2 4 2 28 2 88 2 (?)
a_n: 0 2 24 26 84 86 114 116 120 122 150 152 240 242
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: Orange Kid
db: batch=81, k=14, 22 58 28 4 28 88

SPT(16)	2199823714540040093	0 18 60 74 96 98 110 116 228 234 246 248 270 284 326 344	-1209145332864
SPT(16)	2199824158536503573	0 20 84 86 96 116 138 156 158 176 198 218 228 230 294 314	-765148869384
STPT(10)	2199824550695663831	0 2 30 32 60 62 90 92 120 122	-372989709126
STPT(14)	2199824724657235769	0 2 30 32 42 44 60 62 78 80 90 92 120 122	-199028137188
TPT(14)	2199824724657235769	0 2 30 32 42 44 60 62 78 80 90 92 120 122	-199028137188
STPT(10)	2199824804521934267	0 2 12 14 42 44 72 74 84 86	-119163438690
SPT(16)	2199824989637400121	0 90 100 106 156 210 220 240 328 348 358 412 462 468 478 568	65952027164
TPT(14)	2199825015392605691	0 2 30 32 60 62 138 140 180 182 186 188 270 272	91707232734
SPT(16)	2199825024745631117	0 6 32 50 60 72 126 146 186 206 260 272 282 300 326 332	101060258160
TPT(14)	2199825345114295049	0 2 30 32 48 50 72 74 90 92 228 230 240 242	421428922092
SPT(16)	2199825910049418991	0 40 42 88 120 130 132 138 190 196 198 208 240 286 288 328	986364046034