Prime p₀= 1233230120768932241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 58 2 58 2 46 2 28 2 10 2 (?)
a_n: 0 2 138 140 198 200 258 260 306 308 336 338 348 350
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: 350
Found by: Theadalus
db: batch=77, k=14, 136 58 58 46 28 10

SPT(13)	1233228319320710533	0 18 90 156 168 216 228 240 288 300 366 438 456	-1801448221708
SPT(16)	1233228817795983269	0 20 32 42 158 210 248 288 314 354 392 444 560 570 582 602	-1302972948972
TPT(16)	1233229195979178911	0 2 60 62 120 122 168 170 210 212 216 218 396 398 426 428	-924789753330
SPT(16)	1233229279011554599	0 4 12 42 78 82 88 112 120 144 150 154 190 220 228 232	-841757377642
STPT(10)	1233229357167861839	0 2 30 32 60 62 90 92 120 122	-763601070402
SPT(16)	1233230001973901203	0 18 30 84 88 100 186 210 214 238 324 336 340 394 406 424	-118795031038
STPT(10)	1233230217546577499	0 2 18 20 30 32 42 44 60 62	96777645258
STPT(10)	1233230337513320009	0 2 48 50 90 92 132 134 180 182	216744387768
STPT(10)	1233230419953571307	0 2 30 32 72 74 114 116 144 146	299184639066
STPT(10)	1233230557354392671	0 2 6 8 48 50 90 92 96 98	436585460430
STPT(10)	1233230775320087189	0 2 48 50 60 62 72 74 120 122	654551154948