Prime p₀= 2864796231674860541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 4 2 28 2 10 2 46 2 (?)
a_n: 0 2 48 50 120 122 126 128 156 158 168 170 216 218
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: 218
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 46 70 4 28 10 46

STPT(10)	2864794265463055097	0 2 42 44 72 74 102 104 144 146	-1966211805444
SPT(16)	2864794853565545191	0 90 96 100 106 126 148 156 172 180 202 222 228 232 238 328	-1378109315350
SPT(16)	2864795123668059707	0 24 26 116 140 164 210 236 240 266 312 336 360 450 452 476	-1108006800834
SPT(16)	2864795764545094351	0 12 46 66 108 112 126 130 138 142 156 160 202 222 256 268	-467129766190
SPT(16)	2864796120872073511	0 16 28 40 76 96 100 118 168 186 190 210 246 258 270 286	-110802787030
STPT(10)	2864796175909716857	0 2 12 14 72 74 132 134 144 146	-55765143684
TPT(14)	2864796233161002821	0 2 18 20 30 32 36 38 90 92 156 158 168 170	1486142280
STPT(10)	2864796633890787521	0 2 30 32 78 80 126 128 156 158	402215926980
STPT(10)	2864797182520521011	0 2 30 32 78 80 126 128 156 158	950845660470
STPT(10)	2864797220166315911	0 2 36 38 78 80 120 122 156 158	988491455370
STPT(10)	2864797497839580629	0 2 18 20 30 32 42 44 60 62	1266164720088