Prime p₀= 2303190783453009677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 160 2 28 2 10 2 58 2 28 2 46 2 (?)
a_n: 0 2 162 164 192 194 204 206 264 266 294 296 342 344
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: 344
Found by: Orange Kid
db: batch=81, k=14, 160 28 10 58 28 46

TPT(14)	2303189911541800031	0 2 36 38 78 80 90 92 156 158 186 188 240 242	-871911209646
TPT(14)	2303189965863836711	0 2 48 50 60 62 126 128 138 140 180 182 228 230	-817589172966
SPT(16)	2303190242561002771	0 6 18 60 118 120 132 168 190 226 238 240 298 340 352 358	-540892006906
SPT(16)	2303190357529624009	0 18 72 84 124 150 172 258 304 390 412 438 478 490 544 562	-425923385668
SPT(18)	2303190559557455647	0 22 36 94 112 126 132 190 202 204 216 274 280 294 312 370 384 406	-223895554030
SPT(16)	2303190593584655399	0 32 50 74 84 114 120 170 174 224 230 260 270 294 312 344	-189868354278
STPT(12)	2303191108080738017	0 2 30 32 60 62 72 74 102 104 132 134	324627728340
STPT(10)	2303191428493854707	0 2 12 14 42 44 72 74 84 86	645040845030
SPT(16)	2303191445827015397	0 36 56 66 86 90 140 294 302 456 506 510 530 540 560 596	662374005720
STPT(10)	2303191772454119777	0 2 24 26 42 44 60 62 84 86	989001110100
SPT(16)	2303191828111948769	0 2 42 74 80 102 140 144 350 354 392 414 420 452 492 494	1044658939092