Prime p₀= 2378029889361858581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 52 2 4 2 40 2 76 2 52 2 (?)
a_n: 0 2 66 68 120 122 126 128 168 170 246 248 300 302
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: 302
Found by: [AF>Amis des Lapins] Fredjke
db: batch=81, k=14, 64 52 4 40 76 52

SPT(16)	2378029060808082797	0 24 56 92 122 140 150 162 194 206 216 234 264 300 332 356	-828553775784
SPT(16)	2378029115947392071	0 2 50 90 120 180 182 272 288 378 380 440 470 510 558 560	-773414466510
SPT(16)	2378029566350752967	0 2 14 20 32 56 60 72 104 116 120 144 156 162 174 176	-323011105614
STPT(10)	2378029604566694927	0 2 30 32 60 62 90 92 120 122	-284795163654
STPT(10)	2378029638136423889	0 2 48 50 60 62 72 74 120 122	-251225434692
STPT(12)	2378029794722717621	0 2 36 38 48 50 78 80 90 92 126 128	-94639140960
STPT(10)	2378029994640785057	0 2 60 62 72 74 84 86 144 146	105278926476
STPT(10)	2378030111983939451	0 2 96 98 108 110 120 122 216 218	222622080870
SPT(16)	2378030194006342831	0 16 28 42 82 90 130 132 196 198 238 246 286 300 312 328	304644484250
SPT(16)	2378030379924775993	0 6 28 46 88 96 106 118 126 138 148 156 198 216 238 244	490562917412
SPT(16)	2378030538076514809	0 42 54 118 138 154 178 190 192 204 228 244 264 328 340 382	648714656228