Prime p₀= 2730972229853795801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 100 2 40 2 16 2 130 2 46 2 (?)
a_n: 0 2 66 68 168 170 210 212 228 230 360 362 408 410
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: 410
Found by: herby44
db: batch=82, k=14, 64 100 40 16 130 46

SPT(16)	2730970949666169491	0 66 68 120 156 198 206 218 228 240 248 290 326 378 380 446	-1280187626310
STPT(10)	2730971225248053377	0 2 42 44 72 74 102 104 144 146	-1004605742424
STPT(10)	2730971297240967899	0 2 18 20 30 32 42 44 60 62	-932612827902
SPT(16)	2730971370075296291	0 56 72 116 146 180 186 206 216 236 242 276 306 350 366 422	-859778499510
SPT(16)	2730971773153071389	0 2 50 110 128 140 198 282 350 434 492 504 522 582 630 632	-456700724412
SPT(16)	2730972055071247499	0 30 32 50 54 72 110 120 134 144 182 200 204 222 224 254	-174782548302
STPT(10)	2730972424889138189	0 2 42 44 90 92 138 140 180 182	195035342388
STPT(10)	2730972620284846841	0 2 36 38 78 80 120 122 156 158	390431051040
SPT(16)	2730972872319259831	0 42 58 102 112 142 160 172 186 198 216 246 256 300 316 358	642465464030
SPT(16)	2730973035771964901	0 26 86 98 102 128 140 150 158 168 180 206 210 222 282 308	805918169100
STPT(10)	2730973283356246601	0 2 30 32 78 80 126 128 156 158	1053502450800