Prime p₀= 1124846439196845821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 10 2 46 2 70 2 10 2 (?)
a_n: 0 2 30 32 66 68 78 80 126 128 198 200 210 212
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: 212
Found by: crashtech
db: batch=76, k=14, 28 34 10 46 70 10

SPT(16)	1124845474489520671	0 6 18 40 46 60 66 76 192 202 208 222 228 250 262 268	-964707325150
SPT(16)	1124845552897663099	0 12 28 34 90 100 220 244 258 282 402 412 468 474 490 502	-886299182722
SPT(16)	1124845562997831277	0 4 36 66 82 106 124 150 166 192 210 234 250 280 312 316	-876199014544
SPT(16)	1124845807939459337	0 42 56 92 110 120 176 180 182 186 242 252 270 306 320 362	-631257386484
STPT(10)	1124846046768703949	0 2 18 20 30 32 42 44 60 62	-392428141872
TPT(14)	1124846053379742347	0 2 54 56 90 92 120 122 210 212 294 296 330 332	-385817103474
TPT(14)	1124847085080918359	0 2 18 20 30 32 108 110 138 140 180 182 240 242	645884072538
SPT(16)	1124847486001351591	0 40 42 72 118 136 138 162 196 220 222 240 286 316 318 358	1046804505770
STPT(10)	1124848174348340009	0 2 42 44 120 122 198 200 240 242	1735151494188
SPT(18)	1124848524579670997	0 44 54 72 74 80 84 86 116 120 150 152 156 162 164 182 192 236	2085382825176
SPT(16)	1124848838486040587	0 44 50 72 84 96 104 132 134 162 170 182 194 216 222 266	2399289194766