Prime p₀= 1022499232779607787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1022496576462796957	0 22 34 42 124 126 142 196 210 264 280 282 364 372 384 406	-2656316810830
STPT(10)	1022496738153800177	0 2 30 32 72 74 114 116 144 146	-2494625807610
STPT(10)	1022497017725835389	0 2 12 14 90 92 168 170 180 182	-2215053772398
SPT(16)	1022497203890582701	0 30 42 52 88 100 102 112 186 196 198 210 246 256 268 298	-2028889025086
STPT(10)	1022497483825007777	0 2 30 32 72 74 114 116 144 146	-1748954600010
STPT(10)	1022498649388207001	0 2 6 8 48 50 90 92 96 98	-583391400786
SPT(16)	1022499842224201381	0 10 18 22 40 60 118 130 210 222 280 300 318 322 330 340	609444593594
SPT(16)	1022499887970205811	0 38 108 126 150 162 168 180 188 200 206 218 242 260 330 368	655190598024
SPT(16)	1022500176568168799	0 2 18 62 74 78 98 132 140 174 194 198 210 254 270 272	943788561012
SPT(16)	1022500542441648607	0 10 42 52 60 100 154 166 240 252 306 346 354 364 396 406	1309662040820
TPT(14)	1022500642864895321	0 2 30 32 78 80 108 110 180 182 210 212 306 308	1410085287534