Prime p₀= 1685569426253877551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 10 2 136 2 40 2 40 2 (?)
a_n: 0 2 30 32 36 38 48 50 186 188 228 230 270 272
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: 272
Found by: Donn Pike (USAF Ret)
db: batch=79, k=14, 28 4 10 136 40 40

SPT(16)	1685567953939182997	0 6 34 40 46 54 94 112 144 162 202 210 216 222 250 256	-1472314694554
SPT(16)	1685568151604754371	0 12 62 86 92 96 120 132 170 182 206 210 216 240 290 302	-1274649123180
SPT(16)	1685568682138897709	0 2 14 30 54 62 90 180 182 272 300 308 332 348 360 362	-744114979842
STPT(10)	1685569107490021067	0 2 12 14 42 44 72 74 84 86	-318763856484
STPT(12)	1685569220777852519	0 2 30 32 48 50 180 182 198 200 228 230	-205476025032
SPT(16)	1685569399095760547	0 90 110 132 134 146 162 176 180 194 210 222 224 246 266 356	-27158117004
STPT(10)	1685569788401532347	0 2 30 32 72 74 114 116 144 146	362147654796
STPT(10)	1685570032004707967	0 2 24 26 42 44 60 62 84 86	605750830416
STPT(10)	1685570233466053547	0 2 30 32 42 44 54 56 84 86	807212175996
SPT(16)	1685570428098471037	0 30 54 70 82 100 114 142 144 172 186 204 216 232 256 286	1001844593486
STPT(10)	1685570855835108677	0 2 30 32 42 44 54 56 84 86	1429581231126