Prime p₀= 2022402161199667127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 130 2 118 2 10 2 76 2 16 2 (?)
a_n: 0 2 60 62 192 194 312 314 324 326 402 404 420 422
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: 422
Found by: MarkRBright
db: batch=80, k=14, 58 130 118 10 76 16

SPT(16)	2022400966575140401	0 40 48 90 112 148 180 210 418 448 480 516 538 580 588 628	-1194624526726
SPT(16)	2022401135999918363	0 18 56 60 78 96 104 134 180 210 218 236 254 258 296 314	-1025199748764
STPT(10)	2022401261914375721	0 2 36 38 78 80 120 122 156 158	-899285291406
SPT(16)	2022401318848678057	0 6 54 64 96 114 124 156 160 192 202 220 252 262 310 316	-842350989070
STPT(10)	2022401582031754739	0 2 12 14 30 32 48 50 60 62	-579167912388
SPT(16)	2022402156442516403	0 36 74 80 86 144 156 176 198 218 230 288 294 300 338 374	-4757150724
SPT(16)	2022402225029233591	0 42 46 70 76 118 126 136 162 172 180 222 228 252 256 298	63829566464
SPT(16)	2022402273179304881	0 30 96 116 138 146 168 170 198 200 222 230 252 272 338 368	111979637754
STPT(10)	2022403424874131249	0 2 18 20 30 32 42 44 60 62	1263674464122
SPT(16)	2022403596865730159	0 20 74 78 98 104 134 174 188 228 258 264 284 288 342 362	1435666063032
STPT(10)	2022403607194344947	0 2 24 26 42 44 60 62 84 86	1445994677820