Prime p₀= 2105955693706924289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 88 2 76 2 10 2 70 2 (?)
a_n: 0 2 42 44 60 62 150 152 228 230 240 242 312 314
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: Orange Kid
db: batch=80, k=14, 40 16 88 76 10 70

SPT(16)	2105954706726824809	0 22 64 88 130 148 154 160 162 168 174 192 234 258 300 322	-986980099480
STPT(10)	2105954757154941557	0 2 12 14 72 74 132 134 144 146	-936551982732
SPT(16)	2105954822369253803	0 30 78 134 138 140 146 164 180 198 204 206 210 266 314 344	-871337670486
STPT(10)	2105954905944010787	0 2 12 14 42 44 72 74 84 86	-787762913502
STPT(10)	2105955050324303081	0 2 36 38 78 80 120 122 156 158	-643382621208
SPT(16)	2105955420035008571	0 12 38 72 80 86 98 120 128 150 162 168 176 210 236 248	-273671915718
TPT(14)	2105955764937982367	0 2 42 44 54 56 114 116 144 146 174 176 282 284	71231058078
STPT(10)	2105955939031754177	0 2 30 32 42 44 54 56 84 86	245324829888
SPT(16)	2105956169595926707	0 30 34 72 82 96 142 202 204 264 310 324 334 372 376 406	475889002418
STPT(10)	2105956206880388459	0 2 18 20 60 62 102 104 120 122	513173464170
TPT(14)	2105956677483718469	0 2 18 20 90 92 102 104 132 134 198 200 222 224	983776794180