Prime p₀= 2892018890008254437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 4 2 28 2 22 2 (?)
a_n: 0 2 12 14 30 32 54 56 60 62 90 92 114 116
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: 116
Found by: matsu_pl
db: batch=82, k=14, 10 16 22 4 28 22

SPT(16)	2892018126752808899	0 24 30 74 110 140 180 192 200 212 252 282 318 362 368 392	-763255445538
SPT(16)	2892018163835167819	0 18 34 102 114 144 160 180 202 222 238 268 280 348 364 382	-726173086618
SPT(16)	2892018391507717657	0 30 70 76 84 100 162 190 246 274 336 352 360 366 406 436	-498500536780
TPT(14)	2892018543698585261	0 2 30 32 120 122 156 158 198 200 210 212 240 242	-346309669176
STPT(10)	2892018552127540961	0 2 108 110 168 170 228 230 336 338	-337880713476
STPT(10)	2892018744426501647	0 2 42 44 72 74 102 104 144 146	-145581752790
STPT(10)	2892019166704667939	0 2 30 32 60 62 90 92 120 122	276696413502
TPT(14)	2892019257372280547	0 2 12 14 30 32 42 44 114 116 120 122 150 152	367364026110
SPT(16)	2892019331016994831	0 22 42 58 72 100 130 142 156 168 198 226 240 256 276 298	441008740394
SPT(16)	2892019422757072343	0 24 134 138 140 170 176 186 218 228 234 264 266 270 380 404	532748817906
SPT(16)	2892019460764512401	0 8 38 56 66 86 116 122 156 162 192 212 222 240 270 278	570756257964