Prime p₀= 758828131967707127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Frank [NT]
db: batch=73, k=10, 2 40 2 28 2

SPT(20)	758827319358144067	0 10 30 52 54 64 94 100 114 132 394 412 426 432 462 472 474 496 516 526	-812609563060
STPT(10)	758827471165669811	0 2 6 8 48 50 90 92 96 98	-660802037316
STPT(10)	758827613094605231	0 2 78 80 168 170 258 260 336 338	-518873101896
STPT(10)	758827836907621277	0 2 30 32 42 44 54 56 84 86	-295060085850
SPT(16)	758827869621103507	0 24 30 54 64 130 144 154 222 232 246 312 322 346 352 376	-262346603620
SPT(16)	758828052679615907	0 42 50 66 84 102 104 126 140 162 164 182 200 216 224 266	-79288091220
STPT(10)	758828336230951109	0 2 12 14 30 32 48 50 60 62	204263243982
SPT(16)	758828699061757777	0 4 46 76 172 216 256 292 294 330 370 414 510 540 582 586	567094050650
STPT(10)	758828778870279581	0 2 36 38 78 80 120 122 156 158	646902572454
SPT(16)	758829157676542573	0 46 60 76 78 118 124 148 186 210 216 256 258 274 288 334	1025708835446
STPT(10)	758829315464622011	0 2 36 38 78 80 120 122 156 158	1183496914884