Prime p₀= 1124846046768703949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: crashtech
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1124844920409884459	0 2 30 32 60 62 90 92 120 122	-1126358819490
STPT(10)	1124845302684526457	0 2 60 62 72 74 84 86 144 146	-744084177492
SPT(16)	1124845474489520671	0 6 18 40 46 60 66 76 192 202 208 222 228 250 262 268	-572279183278
SPT(16)	1124845552897663099	0 12 28 34 90 100 220 244 258 282 402 412 468 474 490 502	-493871040850
SPT(16)	1124845562997831277	0 4 36 66 82 106 124 150 166 192 210 234 250 280 312 316	-483770872672
SPT(16)	1124845807939459337	0 42 56 92 110 120 176 180 182 186 242 252 270 306 320 362	-238829244612
TPT(14)	1124846053379742347	0 2 54 56 90 92 120 122 210 212 294 296 330 332	6611038398
TPT(14)	1124846439196845821	0 2 30 32 66 68 78 80 126 128 198 200 210 212	392428141872
TPT(14)	1124847085080918359	0 2 18 20 30 32 108 110 138 140 180 182 240 242	1038312214410
SPT(16)	1124847486001351591	0 40 42 72 118 136 138 162 196 220 222 240 286 316 318 358	1439232647642
STPT(10)	1124848174348340009	0 2 42 44 120 122 198 200 240 242	2127579636060