Prime p₀= 2338514124883724111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 94 2 82 2 16 2 10 2 (?)
a_n: 0 2 18 20 30 32 126 128 210 212 228 230 240 242
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: sabres1616
db: batch=81, k=14, 16 10 94 82 16 10

SPT(16)	2338513597050915001	0 46 72 90 106 130 138 142 186 190 198 222 238 256 282 328	-527832809110
TPT(14)	2338513657457941331	0 2 18 20 30 32 60 62 198 200 216 218 390 392	-467425782780
STPT(10)	2338513819849134839	0 2 18 20 30 32 42 44 60 62	-305034589272
TPT(14)	2338513849463442851	0 2 48 50 90 92 156 158 198 200 258 260 408 410	-275420281260
STPT(10)	2338513900264204259	0 2 18 20 60 62 102 104 120 122	-224619519852
STPT(10)	2338514081351584259	0 2 12 14 30 32 48 50 60 62	-43532139852
SPT(16)	2338514258694628291	0 18 46 60 70 76 90 102 106 118 132 138 148 162 190 208	133810904180
SPT(16)	2338514465550767599	0 34 54 64 102 118 124 130 162 168 174 190 228 238 258 292	340667043488
SPT(16)	2338514778051711979	0 52 54 90 118 154 168 192 280 304 318 354 382 418 420 472	653167987868
STPT(10)	2338514991545434529	0 2 18 20 60 62 102 104 120 122	866661710418
SPT(16)	2338515174479690831	0 18 32 50 56 72 86 108 140 162 176 192 198 216 230 248	1049595966720