Prime p₀= 1040203985298215951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 16 2 22 2 58 2 (?)
a_n: 0 2 36 38 66 68 78 80 96 98 120 122 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 34 28 10 16 22 58

STPT(12)	1040202792978167339	0 2 48 50 78 80 132 134 162 164 210 212	-1192320048612
SPT(16)	1040203407134677183	0 24 54 58 100 124 136 156 178 198 210 234 276 280 310 334	-578163538768
SPT(16)	1040203423511618581	0 12 18 46 76 96 172 196 222 246 322 342 372 400 406 418	-561786597370
TPT(14)	1040203710616873349	0 2 72 74 108 110 198 200 288 290 330 332 360 362	-274681342602
SPT(16)	1040203756162209571	0 18 30 102 108 150 160 192 196 228 238 280 286 358 370 388	-229136006380
STPT(10)	1040203835079235031	0 2 6 8 18 20 30 32 36 38	-150218980920
STPT(10)	1040204238696635849	0 2 12 14 90 92 168 170 180 182	253398419898
STPT(10)	1040204383783755737	0 2 30 32 42 44 54 56 84 86	398485539786
SPT(16)	1040204416238285789	0 12 24 74 84 134 140 168 194 222 228 278 288 338 350 362	430940069838
STPT(10)	1040204553921529817	0 2 60 62 72 74 84 86 144 146	568623313866
SPT(16)	1040204841169712527	0 12 46 66 112 114 154 162 214 222 262 264 310 330 364 376	855871496576