Prime p₀= 2165071072437651377 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 22 2 16 2 46 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 150 152 192 194
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: 194
Found by: Landjunge
db: batch=81, k=14, 40 16 22 16 46 40

STPT(10)	2165069668043181041	0 2 6 8 18 20 30 32 36 38	-1404394470336
TPT(14)	2165069771252582417	0 2 12 14 114 116 144 146 234 236 240 242 252 254	-1301185068960
SPT(16)	2165069885351663989	0 34 48 70 90 130 168 228 244 304 342 382 402 424 438 472	-1187085987388
STPT(10)	2165070262970685491	0 2 36 38 78 80 120 122 156 158	-809466965886
STPT(10)	2165070361024327199	0 2 18 20 60 62 102 104 120 122	-711413324178
SPT(16)	2165070450354448291	0 12 72 88 100 118 130 142 186 198 210 228 240 256 316 328	-622083203086
SPT(16)	2165071364239396513	0 46 60 88 118 148 180 186 190 196 228 258 288 316 330 376	291801745136
STPT(10)	2165071387388180231	0 2 36 38 78 80 120 122 156 158	314950528854
SPT(16)	2165071448803052677	0 12 24 30 42 54 60 90 136 166 172 184 196 202 214 226	376365401300
STPT(10)	2165071648740745487	0 2 30 32 42 44 54 56 84 86	576303094110
STPT(10)	2165072019707369207	0 2 30 32 42 44 54 56 84 86	947269717830