Prime p₀= 853528744246192541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 88 2 40 2 28 2 40 2 (?)
a_n: 0 2 90 92 126 128 216 218 258 260 288 290 330 332
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: 332
Found by: kim-b-h
db: batch=73, k=14, 88 34 88 40 28 40

SPT(16)	853527735974289371	0 2 42 86 90 92 102 108 140 146 156 158 162 206 246 248	-1008271903170
STPT(10)	853528308322056119	0 2 18 20 30 32 42 44 60 62	-435924136422
SPT(16)	853528421850755797	0 6 16 100 154 180 202 214 222 234 256 282 336 420 430 436	-322395436744
STPT(10)	853528534424945957	0 2 30 32 42 44 54 56 84 86	-209821246584
STPT(10)	853528590521106077	0 2 30 32 42 44 54 56 84 86	-153725086464
SPT(16)	853528662155284903	0 60 78 84 88 106 118 120 154 156 168 186 190 196 214 274	-82090907638
SPT(16)	853528799958936421	0 36 60 66 78 90 106 118 138 150 166 178 190 196 220 256	55712743880
SPT(16)	853529041866249563	0 6 38 104 110 128 146 188 216 258 276 294 300 366 398 404	297620057022
TPT(14)	853529844027611291	0 2 6 8 30 32 78 80 90 92 156 158 168 170	1099781418750
TPT(14)	853529938423206377	0 2 54 56 90 92 114 116 144 146 264 266 324 326	1194177013836
SPT(16)	853530086770913869	0 4 22 28 42 52 58 70 102 114 120 130 144 150 168 172	1342524721328