Prime p₀= 2920212968404233167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 106 2 58 2 10 2 28 2 (?)
a_n: 0 2 30 32 72 74 180 182 240 242 252 254 282 284
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: 284
Found by: Landjunge
db: batch=82, k=14, 28 40 106 58 10 28

TPT(14)	2920211430522041417	0 2 12 14 54 56 144 146 192 194 222 224 240 242	-1537882191750
SPT(16)	2920211784455813563	0 16 24 58 66 84 88 106 108 126 130 148 156 190 198 214	-1183948419604
SPT(16)	2920211840361194213	0 8 14 86 146 150 164 216 248 300 314 318 378 450 456 464	-1128043038954
STPT(10)	2920212057931785059	0 2 42 44 60 62 78 80 120 122	-910472448108
STPT(10)	2920212464961755609	0 2 48 50 60 62 72 74 120 122	-503442477558
SPT(16)	2920212506494685047	0 10 72 100 114 174 184 232 282 330 340 400 414 442 504 514	-461909548120
STPT(10)	2920213013547545657	0 2 30 32 42 44 54 56 84 86	45143312490
STPT(12)	2920213182456547127	0 2 12 14 54 56 150 152 192 194 204 206	214052313960
STPT(10)	2920213292966415581	0 2 36 38 78 80 120 122 156 158	324562182414
SPT(16)	2920213700310586567	0 6 30 40 52 60 70 94 132 156 166 174 186 196 220 226	731906353400
STPT(10)	2920213815734385221	0 2 6 8 18 20 30 32 36 38	847330152054