Prime p₀= 2830570582748268161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 28 2 40 2 34 2 28 2 (?)
a_n: 0 2 6 8 18 20 48 50 90 92 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=14, 4 10 28 40 34 28

SPT(16)	2830568961264059803	0 30 34 54 76 90 118 120 124 126 154 168 190 210 214 244	-1621484208358
STPT(10)	2830568985498692699	0 2 48 50 60 62 72 74 120 122	-1597249575462
TPT(14)	2830569546340173761	0 2 6 8 30 32 60 62 90 92 126 128 210 212	-1036408094400
SPT(16)	2830569664833430609	0 4 84 108 118 124 138 148 150 160 174 180 190 214 294 298	-917914837552
STPT(10)	2830570245978031169	0 2 18 20 30 32 42 44 60 62	-336770236992
SPT(16)	2830570532354737891	0 90 108 112 120 136 220 250 258 288 372 388 396 400 418 508	-50393530270
SPT(16)	2830570648561869067	0 12 66 72 114 136 150 166 180 196 210 232 274 280 334 346	65813600906
SPT(16)	2830571156075955713	0 14 36 44 66 68 80 84 110 114 126 128 150 158 180 194	573327687552
SPT(16)	2830571251619324009	0 14 24 38 44 98 104 128 150 174 180 234 240 254 264 278	668871055848
STPT(10)	2830571324217652787	0 2 30 32 72 74 114 116 144 146	741469384626
SPT(16)	2830571559688005953	0 66 80 98 120 128 180 186 260 266 318 326 348 366 380 446	976939737792