Prime p₀= 854909728457497211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 106 2 10 2 76 2 88 2 (?)
a_n: 0 2 36 38 48 50 156 158 168 170 246 248 336 338
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: 338
Found by: Vitalii Koshura
db: batch=73, k=14, 34 10 106 10 76 88

SPT(16)	854909201345774339	0 14 42 48 102 114 144 164 168 188 218 230 284 290 318 332	-527111722872
SPT(16)	854909274102392869	0 12 52 54 72 94 100 120 184 204 210 232 250 252 292 304	-454355104342
STPT(10)	854909396651881391	0 2 6 8 18 20 30 32 36 38	-331805615820
SPT(16)	854909421972255077	0 32 50 72 80 114 162 242 252 332 380 414 422 444 462 494	-306485242134
SPT(16)	854909525654972731	0 12 28 48 52 72 76 100 168 192 196 216 220 240 256 268	-202802524480
SPT(16)	854909602353362161	0 130 168 232 240 288 292 298 390 396 400 448 456 520 558 688	-126104135050
STPT(10)	854909794954087469	0 2 42 44 60 62 78 80 120 122	66496590258
STPT(10)	854909968159851389	0 2 30 32 60 62 90 92 120 122	239702354178
STPT(10)	854910166707786767	0 2 30 32 42 44 54 56 84 86	438250289556
SPT(16)	854910971371624243	0 18 48 58 70 88 94 114 130 150 156 174 186 196 226 244	1242914127032
SPT(16)	854911025762539763	0 8 80 134 150 168 194 210 218 234 260 278 294 348 420 428	1297305042552