Prime p₀= 2021035082887082159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 16 2 22 2 16 2 (?)
a_n: 0 2 18 20 30 32 60 62 78 80 102 104 120 122
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: 122
Found by: Orange Kid
db: batch=80, k=14, 16 10 28 16 22 16

STPT(10)	2021033387701364381	0 2 36 38 78 80 120 122 156 158	-1695185717778
STPT(10)	2021033462300220629	0 2 18 20 30 32 42 44 60 62	-1620586861530
SPT(16)	2021034079895399369	0 54 128 140 150 152 164 260 282 378 390 392 402 414 488 542	-1002991682790
SPT(16)	2021034120717221747	0 30 56 102 120 132 134 140 216 222 224 236 254 300 326 356	-962169860412
STPT(10)	2021034141390741467	0 2 12 14 42 44 72 74 84 86	-941496340692
STPT(10)	2021034615317722619	0 2 18 20 30 32 42 44 60 62	-467569359540
SPT(16)	2021035380564402821	0 42 50 78 90 92 132 138 170 176 216 218 230 258 266 308	297677320662
SPT(16)	2021035452374284319	0 18 54 80 84 120 158 162 200 204 242 278 282 308 344 362	369487202160
SPT(16)	2021035505120787833	0 6 14 56 116 150 164 186 278 300 314 348 408 450 458 464	422233705674
SPT(16)	2021035755415397887	0 22 36 52 70 112 150 154 162 166 204 246 264 280 294 316	672528315728
TPT(14)	2021036299543820519	0 2 30 32 48 50 372 374 420 422 438 440 492 494	1216656738360