Prime p₀= 3020993286271985357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 160 2 100 2 58 2 76 2 (?)
a_n: 0 2 12 14 60 62 222 224 324 326 384 386 462 464
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: 464
Found by: Alnitak2019
db: batch=82, k=14, 10 46 160 100 58 76

TPT(14)	3020991442456019117	0 2 54 56 150 152 180 182 192 194 360 362 444 446	-1843815966240
SPT(16)	3020991702472763821	0 6 16 58 70 102 126 190 348 412 436 468 480 522 532 538	-1583799221536
SPT(16)	3020991780705931471	0 18 48 52 96 108 216 252 256 292 400 412 456 460 490 508	-1505566053886
SPT(16)	3020991988451007343	0 28 34 36 40 54 78 84 190 196 220 234 238 240 246 274	-1297820978014
SPT(16)	3020992395052501271	0 2 6 42 120 122 140 156 182 198 216 218 296 332 336 338	-891219484086
SPT(16)	3020993089784205083	0 18 20 30 36 56 78 168 218 308 330 350 356 366 368 386	-196487780274
TPT(14)	3020993678409386759	0 2 48 50 72 74 120 122 132 134 252 254 258 260	392137401402
STPT(10)	3020993928400933781	0 2 6 8 18 20 30 32 36 38	642128948424
SPT(16)	3020993943108573937	0 22 70 96 112 124 136 154 222 240 252 264 280 306 354 376	656836588580
SPT(16)	3020994055222292683	0 6 18 30 58 70 76 88 186 198 204 216 244 256 268 274	768950307326
STPT(10)	3020994301340131817	0 2 30 32 42 44 54 56 84 86	1015068146460