Prime p₀= 1095206546098411709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 46 2 58 2 10 2 28 2 28 2 (?)
a_n: 0 2 132 134 180 182 240 242 252 254 282 284 312 314
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: 314
Found by: mikey
db: batch=76, k=14, 130 46 58 10 28 28

SPT(16)	1095205836198769541	0 72 98 120 158 182 186 198 290 302 306 330 368 390 416 488	-709899642168
SPT(16)	1095205895513990639	0 2 8 30 38 42 44 54 68 78 80 84 92 114 120 122	-650584421070
SPT(16)	1095206105994101713	0 24 54 66 94 108 138 150 154 166 196 210 238 250 280 304	-440104309996
SPT(16)	1095206217366303607	0 10 52 60 82 96 102 120 136 154 160 174 196 204 246 256	-328732108102
TPT(14)	1095206371472558831	0 2 48 50 66 68 90 92 180 182 258 260 300 302	-174625852878
TPT(14)	1095206441945896127	0 2 12 14 42 44 72 74 204 206 222 224 240 242	-104152515582
STPT(10)	1095207141198687659	0 2 18 20 30 32 42 44 60 62	595100275950
STPT(10)	1095207474511359029	0 2 18 20 30 32 42 44 60 62	928412947320
SPT(16)	1095207701291788817	0 12 14 32 74 90 96 102 104 110 116 132 174 192 194 206	1155193377108
STPT(10)	1095207865100412317	0 2 42 44 72 74 102 104 144 146	1319002000608
SPT(16)	1095207868353850759	0 28 54 58 144 148 214 282 340 408 474 478 564 568 594 622	1322255439050