Prime p₀= 1238063579967758417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Spectrum
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1238061813070298729	0 2 78 80 120 122 162 164 240 242	-1766897459688
SPT(16)	1238061905461726619	0 18 72 120 128 138 140 182 198 240 242 252 260 308 362 380	-1674506031798
SPT(16)	1238062049509444543	0 10 16 48 60 66 94 108 346 360 388 394 406 438 444 454	-1530458313874
SPT(16)	1238062572552951227	0 26 42 62 66 96 102 120 122 140 146 176 180 200 216 242	-1007414807190
TPT(14)	1238063057728880501	0 2 96 98 126 128 180 182 228 230 240 242 360 362	-522238877916
SPT(16)	1238063549988237241	0 66 70 120 126 148 156 166 222 232 240 262 268 318 322 388	-29979521176
TPT(14)	1238063672053651691	0 2 66 68 96 98 138 140 150 152 210 212 216 218	92085893274
STPT(10)	1238063878248055679	0 2 42 44 60 62 78 80 120 122	298280297262
STPT(12)	1238063965642793867	0 2 12 14 54 56 90 92 132 134 144 146	385675035450
STPT(10)	1238064251756947799	0 2 30 32 60 62 90 92 120 122	671789189382
STPT(10)	1238064258217593767	0 2 72 74 102 104 132 134 204 206	678249835350