Prime p₀= 1018020275584831487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 148 2 28 2 4 2 10 2 10 2 (?)
a_n: 0 2 24 26 174 176 204 206 210 212 222 224 234 236
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: 236
Found by: Theadalus
db: batch=76, k=14, 22 148 28 4 10 10

SPT(16)	1018019557264106443	0 34 36 54 60 76 78 120 124 166 168 184 190 208 210 244	-718320725044
SPT(16)	1018019598032438951	0 6 8 32 42 56 78 122 186 230 252 266 276 300 302 308	-677552392536
SPT(16)	1018019638503090221	0 12 32 38 56 78 92 102 116 126 140 162 180 186 206 218	-637081741266
SPT(16)	1018019724279226307	0 42 62 104 132 146 150 254 312 416 420 434 462 504 524 566	-551305605180
TPT(14)	1018019763026028569	0 2 30 32 48 50 102 104 120 122 198 200 288 290	-512558802918
SPT(16)	1018020114021994217	0 32 36 60 84 134 150 156 170 176 192 242 266 290 294 326	-161562837270
SPT(18)	1018020280297553983	0 4 24 58 114 156 168 178 196 228 246 256 268 310 366 400 420 424	4712722496
STPT(10)	1018020317434291217	0 2 12 14 72 74 132 134 144 146	41849459730
SPT(16)	1018020897364959577	0 36 52 64 70 82 96 112 174 190 204 216 222 234 250 286	621780128090
STPT(10)	1018021629178400459	0 2 18 20 30 32 42 44 60 62	1353593568972
SPT(16)	1018021838112305123	0 80 116 170 216 234 308 326 348 366 440 458 504 558 594 674	1562527473636